(y+1)(4-y)=(Y+4)(Y-1)

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


Simplifying
(y + 1)(4 + -1y) = (Y + 4)(Y + -1)

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

Multiply (1 + y) * (4 + -1y)
(1(4 + -1y) + y(4 + -1y)) = (Y + 4)(Y + -1)
((4 * 1 + -1y * 1) + y(4 + -1y)) = (Y + 4)(Y + -1)
((4 + -1y) + y(4 + -1y)) = (Y + 4)(Y + -1)
(4 + -1y + (4 * y + -1y * y)) = (Y + 4)(Y + -1)
(4 + -1y + (4y + -1y2)) = (Y + 4)(Y + -1)

Combine like terms: -1y + 4y = 3y
(4 + 3y + -1y2) = (Y + 4)(Y + -1)

Reorder the terms:
4 + 3y + -1y2 = (4 + Y)(Y + -1)

Reorder the terms:
4 + 3y + -1y2 = (4 + Y)(-1 + Y)

Multiply (4 + Y) * (-1 + Y)
4 + 3y + -1y2 = (4(-1 + Y) + Y(-1 + Y))
4 + 3y + -1y2 = ((-1 * 4 + Y * 4) + Y(-1 + Y))
4 + 3y + -1y2 = ((-4 + 4Y) + Y(-1 + Y))
4 + 3y + -1y2 = (-4 + 4Y + (-1 * Y + Y * Y))
4 + 3y + -1y2 = (-4 + 4Y + (-1Y + Y2))

Combine like terms: 4Y + -1Y = 3Y
4 + 3y + -1y2 = (-4 + 3Y + Y2)

Solving
4 + 3y + -1y2 = -4 + 3Y + Y2

Solving for variable 'y'.

Reorder the terms:
4 + 4 + -3Y + -1Y2 + 3y + -1y2 = -4 + 3Y + Y2 + 4 + -3Y + -1Y2

Combine like terms: 4 + 4 = 8
8 + -3Y + -1Y2 + 3y + -1y2 = -4 + 3Y + Y2 + 4 + -3Y + -1Y2

Reorder the terms:
8 + -3Y + -1Y2 + 3y + -1y2 = -4 + 4 + 3Y + -3Y + Y2 + -1Y2

Combine like terms: -4 + 4 = 0
8 + -3Y + -1Y2 + 3y + -1y2 = 0 + 3Y + -3Y + Y2 + -1Y2
8 + -3Y + -1Y2 + 3y + -1y2 = 3Y + -3Y + Y2 + -1Y2

Combine like terms: 3Y + -3Y = 0
8 + -3Y + -1Y2 + 3y + -1y2 = 0 + Y2 + -1Y2
8 + -3Y + -1Y2 + 3y + -1y2 = Y2 + -1Y2

Combine like terms: Y2 + -1Y2 = 0
8 + -3Y + -1Y2 + 3y + -1y2 = 0

The solution to this equation could not be determined.

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