(Y-9)(y-7)(y+3)(y+1)-384=0

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Solution for (Y-9)(y-7)(y+3)(y+1)-384=0 equation:


Simplifying
(Y + -9)(y + -7)(y + 3)(y + 1) + -384 = 0

Reorder the terms:
(-9 + Y)(y + -7)(y + 3)(y + 1) + -384 = 0

Reorder the terms:
(-9 + Y)(-7 + y)(y + 3)(y + 1) + -384 = 0

Reorder the terms:
(-9 + Y)(-7 + y)(3 + y)(y + 1) + -384 = 0

Reorder the terms:
(-9 + Y)(-7 + y)(3 + y)(1 + y) + -384 = 0

Multiply (-9 + Y) * (-7 + y)
(-9(-7 + y) + Y(-7 + y))(3 + y)(1 + y) + -384 = 0
((-7 * -9 + y * -9) + Y(-7 + y))(3 + y)(1 + y) + -384 = 0
((63 + -9y) + Y(-7 + y))(3 + y)(1 + y) + -384 = 0
(63 + -9y + (-7 * Y + y * Y))(3 + y)(1 + y) + -384 = 0
(63 + -9y + (-7Y + yY))(3 + y)(1 + y) + -384 = 0

Reorder the terms:
(63 + -7Y + -9y + yY)(3 + y)(1 + y) + -384 = 0
(63 + -7Y + -9y + yY)(3 + y)(1 + y) + -384 = 0

Multiply (63 + -7Y + -9y + yY) * (3 + y)
(63(3 + y) + -7Y * (3 + y) + -9y * (3 + y) + yY(3 + y))(1 + y) + -384 = 0
((3 * 63 + y * 63) + -7Y * (3 + y) + -9y * (3 + y) + yY(3 + y))(1 + y) + -384 = 0
((189 + 63y) + -7Y * (3 + y) + -9y * (3 + y) + yY(3 + y))(1 + y) + -384 = 0
(189 + 63y + (3 * -7Y + y * -7Y) + -9y * (3 + y) + yY(3 + y))(1 + y) + -384 = 0
(189 + 63y + (-21Y + -7yY) + -9y * (3 + y) + yY(3 + y))(1 + y) + -384 = 0
(189 + 63y + -21Y + -7yY + (3 * -9y + y * -9y) + yY(3 + y))(1 + y) + -384 = 0
(189 + 63y + -21Y + -7yY + (-27y + -9y2) + yY(3 + y))(1 + y) + -384 = 0
(189 + 63y + -21Y + -7yY + -27y + -9y2 + (3 * yY + y * yY))(1 + y) + -384 = 0
(189 + 63y + -21Y + -7yY + -27y + -9y2 + (3yY + y2Y))(1 + y) + -384 = 0

Reorder the terms:
(189 + -21Y + 63y + -27y + -7yY + 3yY + -9y2 + y2Y)(1 + y) + -384 = 0

Combine like terms: 63y + -27y = 36y
(189 + -21Y + 36y + -7yY + 3yY + -9y2 + y2Y)(1 + y) + -384 = 0

Combine like terms: -7yY + 3yY = -4yY
(189 + -21Y + 36y + -4yY + -9y2 + y2Y)(1 + y) + -384 = 0

Multiply (189 + -21Y + 36y + -4yY + -9y2 + y2Y) * (1 + y)
(189(1 + y) + -21Y * (1 + y) + 36y * (1 + y) + -4yY * (1 + y) + -9y2 * (1 + y) + y2Y(1 + y)) + -384 = 0
((1 * 189 + y * 189) + -21Y * (1 + y) + 36y * (1 + y) + -4yY * (1 + y) + -9y2 * (1 + y) + y2Y(1 + y)) + -384 = 0
((189 + 189y) + -21Y * (1 + y) + 36y * (1 + y) + -4yY * (1 + y) + -9y2 * (1 + y) + y2Y(1 + y)) + -384 = 0
(189 + 189y + (1 * -21Y + y * -21Y) + 36y * (1 + y) + -4yY * (1 + y) + -9y2 * (1 + y) + y2Y(1 + y)) + -384 = 0
(189 + 189y + (-21Y + -21yY) + 36y * (1 + y) + -4yY * (1 + y) + -9y2 * (1 + y) + y2Y(1 + y)) + -384 = 0
(189 + 189y + -21Y + -21yY + (1 * 36y + y * 36y) + -4yY * (1 + y) + -9y2 * (1 + y) + y2Y(1 + y)) + -384 = 0
(189 + 189y + -21Y + -21yY + (36y + 36y2) + -4yY * (1 + y) + -9y2 * (1 + y) + y2Y(1 + y)) + -384 = 0
(189 + 189y + -21Y + -21yY + 36y + 36y2 + (1 * -4yY + y * -4yY) + -9y2 * (1 + y) + y2Y(1 + y)) + -384 = 0
(189 + 189y + -21Y + -21yY + 36y + 36y2 + (-4yY + -4y2Y) + -9y2 * (1 + y) + y2Y(1 + y)) + -384 = 0
(189 + 189y + -21Y + -21yY + 36y + 36y2 + -4yY + -4y2Y + (1 * -9y2 + y * -9y2) + y2Y(1 + y)) + -384 = 0
(189 + 189y + -21Y + -21yY + 36y + 36y2 + -4yY + -4y2Y + (-9y2 + -9y3) + y2Y(1 + y)) + -384 = 0
(189 + 189y + -21Y + -21yY + 36y + 36y2 + -4yY + -4y2Y + -9y2 + -9y3 + (1 * y2Y + y * y2Y)) + -384 = 0
(189 + 189y + -21Y + -21yY + 36y + 36y2 + -4yY + -4y2Y + -9y2 + -9y3 + (1y2Y + y3Y)) + -384 = 0

Reorder the terms:
(189 + -21Y + 189y + 36y + -21yY + -4yY + 36y2 + -9y2 + -4y2Y + 1y2Y + -9y3 + y3Y) + -384 = 0

Combine like terms: 189y + 36y = 225y
(189 + -21Y + 225y + -21yY + -4yY + 36y2 + -9y2 + -4y2Y + 1y2Y + -9y3 + y3Y) + -384 = 0

Combine like terms: -21yY + -4yY = -25yY
(189 + -21Y + 225y + -25yY + 36y2 + -9y2 + -4y2Y + 1y2Y + -9y3 + y3Y) + -384 = 0

Combine like terms: 36y2 + -9y2 = 27y2
(189 + -21Y + 225y + -25yY + 27y2 + -4y2Y + 1y2Y + -9y3 + y3Y) + -384 = 0

Combine like terms: -4y2Y + 1y2Y = -3y2Y
(189 + -21Y + 225y + -25yY + 27y2 + -3y2Y + -9y3 + y3Y) + -384 = 0

Reorder the terms:
189 + -384 + -21Y + 225y + -25yY + 27y2 + -3y2Y + -9y3 + y3Y = 0

Combine like terms: 189 + -384 = -195
-195 + -21Y + 225y + -25yY + 27y2 + -3y2Y + -9y3 + y3Y = 0

Solving
-195 + -21Y + 225y + -25yY + 27y2 + -3y2Y + -9y3 + y3Y = 0

Solving for variable 'Y'.

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

Add '195' to each side of the equation.
-195 + -21Y + 225y + -25yY + 27y2 + -3y2Y + -9y3 + 195 + y3Y = 0 + 195

Reorder the terms:
-195 + 195 + -21Y + 225y + -25yY + 27y2 + -3y2Y + -9y3 + y3Y = 0 + 195

Combine like terms: -195 + 195 = 0
0 + -21Y + 225y + -25yY + 27y2 + -3y2Y + -9y3 + y3Y = 0 + 195
-21Y + 225y + -25yY + 27y2 + -3y2Y + -9y3 + y3Y = 0 + 195

Combine like terms: 0 + 195 = 195
-21Y + 225y + -25yY + 27y2 + -3y2Y + -9y3 + y3Y = 195

Add '-225y' to each side of the equation.
-21Y + 225y + -25yY + 27y2 + -3y2Y + -9y3 + -225y + y3Y = 195 + -225y

Reorder the terms:
-21Y + 225y + -225y + -25yY + 27y2 + -3y2Y + -9y3 + y3Y = 195 + -225y

Combine like terms: 225y + -225y = 0
-21Y + 0 + -25yY + 27y2 + -3y2Y + -9y3 + y3Y = 195 + -225y
-21Y + -25yY + 27y2 + -3y2Y + -9y3 + y3Y = 195 + -225y

Add '-27y2' to each side of the equation.
-21Y + -25yY + 27y2 + -3y2Y + -9y3 + -27y2 + y3Y = 195 + -225y + -27y2

Reorder the terms:
-21Y + -25yY + 27y2 + -27y2 + -3y2Y + -9y3 + y3Y = 195 + -225y + -27y2

Combine like terms: 27y2 + -27y2 = 0
-21Y + -25yY + 0 + -3y2Y + -9y3 + y3Y = 195 + -225y + -27y2
-21Y + -25yY + -3y2Y + -9y3 + y3Y = 195 + -225y + -27y2

Add '9y3' to each side of the equation.
-21Y + -25yY + -3y2Y + -9y3 + 9y3 + y3Y = 195 + -225y + -27y2 + 9y3

Combine like terms: -9y3 + 9y3 = 0
-21Y + -25yY + -3y2Y + 0 + y3Y = 195 + -225y + -27y2 + 9y3
-21Y + -25yY + -3y2Y + y3Y = 195 + -225y + -27y2 + 9y3

Reorder the terms:
-195 + -21Y + 225y + -25yY + 27y2 + -3y2Y + -9y3 + y3Y = 195 + -225y + -27y2 + 9y3 + -195 + 225y + 27y2 + -9y3

Reorder the terms:
-195 + -21Y + 225y + -25yY + 27y2 + -3y2Y + -9y3 + y3Y = 195 + -195 + -225y + 225y + -27y2 + 27y2 + 9y3 + -9y3

Combine like terms: 195 + -195 = 0
-195 + -21Y + 225y + -25yY + 27y2 + -3y2Y + -9y3 + y3Y = 0 + -225y + 225y + -27y2 + 27y2 + 9y3 + -9y3
-195 + -21Y + 225y + -25yY + 27y2 + -3y2Y + -9y3 + y3Y = -225y + 225y + -27y2 + 27y2 + 9y3 + -9y3

Combine like terms: -225y + 225y = 0
-195 + -21Y + 225y + -25yY + 27y2 + -3y2Y + -9y3 + y3Y = 0 + -27y2 + 27y2 + 9y3 + -9y3
-195 + -21Y + 225y + -25yY + 27y2 + -3y2Y + -9y3 + y3Y = -27y2 + 27y2 + 9y3 + -9y3

Combine like terms: -27y2 + 27y2 = 0
-195 + -21Y + 225y + -25yY + 27y2 + -3y2Y + -9y3 + y3Y = 0 + 9y3 + -9y3
-195 + -21Y + 225y + -25yY + 27y2 + -3y2Y + -9y3 + y3Y = 9y3 + -9y3

Combine like terms: 9y3 + -9y3 = 0
-195 + -21Y + 225y + -25yY + 27y2 + -3y2Y + -9y3 + y3Y = 0

The solution to this equation could not be determined.

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