(Y-4)(y-4)(y+1)(y+1)=3+(y-2)(y+6)(y-2)

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Solution for (Y-4)(y-4)(y+1)(y+1)=3+(y-2)(y+6)(y-2) equation:


Simplifying
(Y + -4)(y + -4)(y + 1)(y + 1) = 3 + (y + -2)(y + 6)(y + -2)

Reorder the terms:
(-4 + Y)(y + -4)(y + 1)(y + 1) = 3 + (y + -2)(y + 6)(y + -2)

Reorder the terms:
(-4 + Y)(-4 + y)(y + 1)(y + 1) = 3 + (y + -2)(y + 6)(y + -2)

Reorder the terms:
(-4 + Y)(-4 + y)(1 + y)(y + 1) = 3 + (y + -2)(y + 6)(y + -2)

Reorder the terms:
(-4 + Y)(-4 + y)(1 + y)(1 + y) = 3 + (y + -2)(y + 6)(y + -2)

Multiply (-4 + Y) * (-4 + y)
(-4(-4 + y) + Y(-4 + y))(1 + y)(1 + y) = 3 + (y + -2)(y + 6)(y + -2)
((-4 * -4 + y * -4) + Y(-4 + y))(1 + y)(1 + y) = 3 + (y + -2)(y + 6)(y + -2)
((16 + -4y) + Y(-4 + y))(1 + y)(1 + y) = 3 + (y + -2)(y + 6)(y + -2)
(16 + -4y + (-4 * Y + y * Y))(1 + y)(1 + y) = 3 + (y + -2)(y + 6)(y + -2)
(16 + -4y + (-4Y + yY))(1 + y)(1 + y) = 3 + (y + -2)(y + 6)(y + -2)

Reorder the terms:
(16 + -4Y + -4y + yY)(1 + y)(1 + y) = 3 + (y + -2)(y + 6)(y + -2)
(16 + -4Y + -4y + yY)(1 + y)(1 + y) = 3 + (y + -2)(y + 6)(y + -2)

Multiply (16 + -4Y + -4y + yY) * (1 + y)
(16(1 + y) + -4Y * (1 + y) + -4y * (1 + y) + yY(1 + y))(1 + y) = 3 + (y + -2)(y + 6)(y + -2)
((1 * 16 + y * 16) + -4Y * (1 + y) + -4y * (1 + y) + yY(1 + y))(1 + y) = 3 + (y + -2)(y + 6)(y + -2)
((16 + 16y) + -4Y * (1 + y) + -4y * (1 + y) + yY(1 + y))(1 + y) = 3 + (y + -2)(y + 6)(y + -2)
(16 + 16y + (1 * -4Y + y * -4Y) + -4y * (1 + y) + yY(1 + y))(1 + y) = 3 + (y + -2)(y + 6)(y + -2)
(16 + 16y + (-4Y + -4yY) + -4y * (1 + y) + yY(1 + y))(1 + y) = 3 + (y + -2)(y + 6)(y + -2)
(16 + 16y + -4Y + -4yY + (1 * -4y + y * -4y) + yY(1 + y))(1 + y) = 3 + (y + -2)(y + 6)(y + -2)
(16 + 16y + -4Y + -4yY + (-4y + -4y2) + yY(1 + y))(1 + y) = 3 + (y + -2)(y + 6)(y + -2)
(16 + 16y + -4Y + -4yY + -4y + -4y2 + (1 * yY + y * yY))(1 + y) = 3 + (y + -2)(y + 6)(y + -2)
(16 + 16y + -4Y + -4yY + -4y + -4y2 + (1yY + y2Y))(1 + y) = 3 + (y + -2)(y + 6)(y + -2)

Reorder the terms:
(16 + -4Y + 16y + -4y + -4yY + 1yY + -4y2 + y2Y)(1 + y) = 3 + (y + -2)(y + 6)(y + -2)

Combine like terms: 16y + -4y = 12y
(16 + -4Y + 12y + -4yY + 1yY + -4y2 + y2Y)(1 + y) = 3 + (y + -2)(y + 6)(y + -2)

Combine like terms: -4yY + 1yY = -3yY
(16 + -4Y + 12y + -3yY + -4y2 + y2Y)(1 + y) = 3 + (y + -2)(y + 6)(y + -2)

Multiply (16 + -4Y + 12y + -3yY + -4y2 + y2Y) * (1 + y)
(16(1 + y) + -4Y * (1 + y) + 12y * (1 + y) + -3yY * (1 + y) + -4y2 * (1 + y) + y2Y(1 + y)) = 3 + (y + -2)(y + 6)(y + -2)
((1 * 16 + y * 16) + -4Y * (1 + y) + 12y * (1 + y) + -3yY * (1 + y) + -4y2 * (1 + y) + y2Y(1 + y)) = 3 + (y + -2)(y + 6)(y + -2)
((16 + 16y) + -4Y * (1 + y) + 12y * (1 + y) + -3yY * (1 + y) + -4y2 * (1 + y) + y2Y(1 + y)) = 3 + (y + -2)(y + 6)(y + -2)
(16 + 16y + (1 * -4Y + y * -4Y) + 12y * (1 + y) + -3yY * (1 + y) + -4y2 * (1 + y) + y2Y(1 + y)) = 3 + (y + -2)(y + 6)(y + -2)
(16 + 16y + (-4Y + -4yY) + 12y * (1 + y) + -3yY * (1 + y) + -4y2 * (1 + y) + y2Y(1 + y)) = 3 + (y + -2)(y + 6)(y + -2)
(16 + 16y + -4Y + -4yY + (1 * 12y + y * 12y) + -3yY * (1 + y) + -4y2 * (1 + y) + y2Y(1 + y)) = 3 + (y + -2)(y + 6)(y + -2)
(16 + 16y + -4Y + -4yY + (12y + 12y2) + -3yY * (1 + y) + -4y2 * (1 + y) + y2Y(1 + y)) = 3 + (y + -2)(y + 6)(y + -2)
(16 + 16y + -4Y + -4yY + 12y + 12y2 + (1 * -3yY + y * -3yY) + -4y2 * (1 + y) + y2Y(1 + y)) = 3 + (y + -2)(y + 6)(y + -2)
(16 + 16y + -4Y + -4yY + 12y + 12y2 + (-3yY + -3y2Y) + -4y2 * (1 + y) + y2Y(1 + y)) = 3 + (y + -2)(y + 6)(y + -2)
(16 + 16y + -4Y + -4yY + 12y + 12y2 + -3yY + -3y2Y + (1 * -4y2 + y * -4y2) + y2Y(1 + y)) = 3 + (y + -2)(y + 6)(y + -2)
(16 + 16y + -4Y + -4yY + 12y + 12y2 + -3yY + -3y2Y + (-4y2 + -4y3) + y2Y(1 + y)) = 3 + (y + -2)(y + 6)(y + -2)
(16 + 16y + -4Y + -4yY + 12y + 12y2 + -3yY + -3y2Y + -4y2 + -4y3 + (1 * y2Y + y * y2Y)) = 3 + (y + -2)(y + 6)(y + -2)
(16 + 16y + -4Y + -4yY + 12y + 12y2 + -3yY + -3y2Y + -4y2 + -4y3 + (1y2Y + y3Y)) = 3 + (y + -2)(y + 6)(y + -2)

Reorder the terms:
(16 + -4Y + 16y + 12y + -4yY + -3yY + 12y2 + -4y2 + -3y2Y + 1y2Y + -4y3 + y3Y) = 3 + (y + -2)(y + 6)(y + -2)

Combine like terms: 16y + 12y = 28y
(16 + -4Y + 28y + -4yY + -3yY + 12y2 + -4y2 + -3y2Y + 1y2Y + -4y3 + y3Y) = 3 + (y + -2)(y + 6)(y + -2)

Combine like terms: -4yY + -3yY = -7yY
(16 + -4Y + 28y + -7yY + 12y2 + -4y2 + -3y2Y + 1y2Y + -4y3 + y3Y) = 3 + (y + -2)(y + 6)(y + -2)

Combine like terms: 12y2 + -4y2 = 8y2
(16 + -4Y + 28y + -7yY + 8y2 + -3y2Y + 1y2Y + -4y3 + y3Y) = 3 + (y + -2)(y + 6)(y + -2)

Combine like terms: -3y2Y + 1y2Y = -2y2Y
(16 + -4Y + 28y + -7yY + 8y2 + -2y2Y + -4y3 + y3Y) = 3 + (y + -2)(y + 6)(y + -2)

Reorder the terms:
16 + -4Y + 28y + -7yY + 8y2 + -2y2Y + -4y3 + y3Y = 3 + (-2 + y)(y + 6)(y + -2)

Reorder the terms:
16 + -4Y + 28y + -7yY + 8y2 + -2y2Y + -4y3 + y3Y = 3 + (-2 + y)(6 + y)(y + -2)

Reorder the terms:
16 + -4Y + 28y + -7yY + 8y2 + -2y2Y + -4y3 + y3Y = 3 + (-2 + y)(6 + y)(-2 + y)

Multiply (-2 + y) * (6 + y)
16 + -4Y + 28y + -7yY + 8y2 + -2y2Y + -4y3 + y3Y = 3 + (-2(6 + y) + y(6 + y))(-2 + y)
16 + -4Y + 28y + -7yY + 8y2 + -2y2Y + -4y3 + y3Y = 3 + ((6 * -2 + y * -2) + y(6 + y))(-2 + y)
16 + -4Y + 28y + -7yY + 8y2 + -2y2Y + -4y3 + y3Y = 3 + ((-12 + -2y) + y(6 + y))(-2 + y)
16 + -4Y + 28y + -7yY + 8y2 + -2y2Y + -4y3 + y3Y = 3 + (-12 + -2y + (6 * y + y * y))(-2 + y)
16 + -4Y + 28y + -7yY + 8y2 + -2y2Y + -4y3 + y3Y = 3 + (-12 + -2y + (6y + y2))(-2 + y)

Combine like terms: -2y + 6y = 4y
16 + -4Y + 28y + -7yY + 8y2 + -2y2Y + -4y3 + y3Y = 3 + (-12 + 4y + y2)(-2 + y)

Multiply (-12 + 4y + y2) * (-2 + y)
16 + -4Y + 28y + -7yY + 8y2 + -2y2Y + -4y3 + y3Y = 3 + (-12(-2 + y) + 4y * (-2 + y) + y2(-2 + y))
16 + -4Y + 28y + -7yY + 8y2 + -2y2Y + -4y3 + y3Y = 3 + ((-2 * -12 + y * -12) + 4y * (-2 + y) + y2(-2 + y))
16 + -4Y + 28y + -7yY + 8y2 + -2y2Y + -4y3 + y3Y = 3 + ((24 + -12y) + 4y * (-2 + y) + y2(-2 + y))
16 + -4Y + 28y + -7yY + 8y2 + -2y2Y + -4y3 + y3Y = 3 + (24 + -12y + (-2 * 4y + y * 4y) + y2(-2 + y))
16 + -4Y + 28y + -7yY + 8y2 + -2y2Y + -4y3 + y3Y = 3 + (24 + -12y + (-8y + 4y2) + y2(-2 + y))
16 + -4Y + 28y + -7yY + 8y2 + -2y2Y + -4y3 + y3Y = 3 + (24 + -12y + -8y + 4y2 + (-2 * y2 + y * y2))
16 + -4Y + 28y + -7yY + 8y2 + -2y2Y + -4y3 + y3Y = 3 + (24 + -12y + -8y + 4y2 + (-2y2 + y3))

Combine like terms: -12y + -8y = -20y
16 + -4Y + 28y + -7yY + 8y2 + -2y2Y + -4y3 + y3Y = 3 + (24 + -20y + 4y2 + -2y2 + y3)

Combine like terms: 4y2 + -2y2 = 2y2
16 + -4Y + 28y + -7yY + 8y2 + -2y2Y + -4y3 + y3Y = 3 + (24 + -20y + 2y2 + y3)

Combine like terms: 3 + 24 = 27
16 + -4Y + 28y + -7yY + 8y2 + -2y2Y + -4y3 + y3Y = 27 + -20y + 2y2 + y3

Solving
16 + -4Y + 28y + -7yY + 8y2 + -2y2Y + -4y3 + y3Y = 27 + -20y + 2y2 + y3

Solving for variable 'Y'.

Move all terms containing Y to the left, all other terms to the right.

Add '-16' to each side of the equation.
16 + -4Y + 28y + -7yY + 8y2 + -2y2Y + -4y3 + -16 + y3Y = 27 + -20y + 2y2 + -16 + y3

Reorder the terms:
16 + -16 + -4Y + 28y + -7yY + 8y2 + -2y2Y + -4y3 + y3Y = 27 + -20y + 2y2 + -16 + y3

Combine like terms: 16 + -16 = 0
0 + -4Y + 28y + -7yY + 8y2 + -2y2Y + -4y3 + y3Y = 27 + -20y + 2y2 + -16 + y3
-4Y + 28y + -7yY + 8y2 + -2y2Y + -4y3 + y3Y = 27 + -20y + 2y2 + -16 + y3

Reorder the terms:
-4Y + 28y + -7yY + 8y2 + -2y2Y + -4y3 + y3Y = 27 + -16 + -20y + 2y2 + y3

Combine like terms: 27 + -16 = 11
-4Y + 28y + -7yY + 8y2 + -2y2Y + -4y3 + y3Y = 11 + -20y + 2y2 + y3

Add '-28y' to each side of the equation.
-4Y + 28y + -7yY + 8y2 + -2y2Y + -4y3 + -28y + y3Y = 11 + -20y + 2y2 + -28y + y3

Reorder the terms:
-4Y + 28y + -28y + -7yY + 8y2 + -2y2Y + -4y3 + y3Y = 11 + -20y + 2y2 + -28y + y3

Combine like terms: 28y + -28y = 0
-4Y + 0 + -7yY + 8y2 + -2y2Y + -4y3 + y3Y = 11 + -20y + 2y2 + -28y + y3
-4Y + -7yY + 8y2 + -2y2Y + -4y3 + y3Y = 11 + -20y + 2y2 + -28y + y3

Reorder the terms:
-4Y + -7yY + 8y2 + -2y2Y + -4y3 + y3Y = 11 + -20y + -28y + 2y2 + y3

Combine like terms: -20y + -28y = -48y
-4Y + -7yY + 8y2 + -2y2Y + -4y3 + y3Y = 11 + -48y + 2y2 + y3

Add '-8y2' to each side of the equation.
-4Y + -7yY + 8y2 + -2y2Y + -4y3 + -8y2 + y3Y = 11 + -48y + 2y2 + -8y2 + y3

Reorder the terms:
-4Y + -7yY + 8y2 + -8y2 + -2y2Y + -4y3 + y3Y = 11 + -48y + 2y2 + -8y2 + y3

Combine like terms: 8y2 + -8y2 = 0
-4Y + -7yY + 0 + -2y2Y + -4y3 + y3Y = 11 + -48y + 2y2 + -8y2 + y3
-4Y + -7yY + -2y2Y + -4y3 + y3Y = 11 + -48y + 2y2 + -8y2 + y3

Combine like terms: 2y2 + -8y2 = -6y2
-4Y + -7yY + -2y2Y + -4y3 + y3Y = 11 + -48y + -6y2 + y3

Add '4y3' to each side of the equation.
-4Y + -7yY + -2y2Y + -4y3 + 4y3 + y3Y = 11 + -48y + -6y2 + y3 + 4y3

Combine like terms: -4y3 + 4y3 = 0
-4Y + -7yY + -2y2Y + 0 + y3Y = 11 + -48y + -6y2 + y3 + 4y3
-4Y + -7yY + -2y2Y + y3Y = 11 + -48y + -6y2 + y3 + 4y3

Combine like terms: y3 + 4y3 = 5y3
-4Y + -7yY + -2y2Y + y3Y = 11 + -48y + -6y2 + 5y3

Reorder the terms:
-11 + -4Y + 48y + -7yY + 6y2 + -2y2Y + -5y3 + y3Y = 11 + -48y + -6y2 + 5y3 + -11 + 48y + 6y2 + -5y3

Reorder the terms:
-11 + -4Y + 48y + -7yY + 6y2 + -2y2Y + -5y3 + y3Y = 11 + -11 + -48y + 48y + -6y2 + 6y2 + 5y3 + -5y3

Combine like terms: 11 + -11 = 0
-11 + -4Y + 48y + -7yY + 6y2 + -2y2Y + -5y3 + y3Y = 0 + -48y + 48y + -6y2 + 6y2 + 5y3 + -5y3
-11 + -4Y + 48y + -7yY + 6y2 + -2y2Y + -5y3 + y3Y = -48y + 48y + -6y2 + 6y2 + 5y3 + -5y3

Combine like terms: -48y + 48y = 0
-11 + -4Y + 48y + -7yY + 6y2 + -2y2Y + -5y3 + y3Y = 0 + -6y2 + 6y2 + 5y3 + -5y3
-11 + -4Y + 48y + -7yY + 6y2 + -2y2Y + -5y3 + y3Y = -6y2 + 6y2 + 5y3 + -5y3

Combine like terms: -6y2 + 6y2 = 0
-11 + -4Y + 48y + -7yY + 6y2 + -2y2Y + -5y3 + y3Y = 0 + 5y3 + -5y3
-11 + -4Y + 48y + -7yY + 6y2 + -2y2Y + -5y3 + y3Y = 5y3 + -5y3

Combine like terms: 5y3 + -5y3 = 0
-11 + -4Y + 48y + -7yY + 6y2 + -2y2Y + -5y3 + y3Y = 0

The solution to this equation could not be determined.

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