8(y+8)+1(y-8)(y+8)=y(y-8)

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Solution for 8(y+8)+1(y-8)(y+8)=y(y-8) equation: 


Simplifying
8(y + 8) + 1(y + -8)(y + 8) = y(y + -8)

Reorder the terms:
8(8 + y) + 1(y + -8)(y + 8) = y(y + -8)
(8 * 8 + y * 8) + 1(y + -8)(y + 8) = y(y + -8)
(64 + 8y) + 1(y + -8)(y + 8) = y(y + -8)

Reorder the terms:
64 + 8y + 1(-8 + y)(y + 8) = y(y + -8)

Reorder the terms:
64 + 8y + 1(-8 + y)(8 + y) = y(y + -8)

Multiply (-8 + y) * (8 + y)
64 + 8y + 1(-8(8 + y) + y(8 + y)) = y(y + -8)
64 + 8y + 1((8 * -8 + y * -8) + y(8 + y)) = y(y + -8)
64 + 8y + 1((-64 + -8y) + y(8 + y)) = y(y + -8)
64 + 8y + 1(-64 + -8y + (8 * y + y * y)) = y(y + -8)
64 + 8y + 1(-64 + -8y + (8y + y2)) = y(y + -8)

Combine like terms: -8y + 8y = 0
64 + 8y + 1(-64 + 0 + y2) = y(y + -8)
64 + 8y + 1(-64 + y2) = y(y + -8)
64 + 8y + (-64 * 1 + y2 * 1) = y(y + -8)
64 + 8y + (-64 + 1y2) = y(y + -8)

Reorder the terms:
64 + -64 + 8y + 1y2 = y(y + -8)

Combine like terms: 64 + -64 = 0
0 + 8y + 1y2 = y(y + -8)
8y + 1y2 = y(y + -8)

Reorder the terms:
8y + 1y2 = y(-8 + y)
8y + 1y2 = (-8 * y + y * y)
8y + 1y2 = (-8y + y2)

Solving
8y + 1y2 = -8y + y2

Solving for variable 'y'.

Reorder the terms:
8y + 8y + 1y2 + -1y2 = -8y + y2 + 8y + -1y2

Combine like terms: 8y + 8y = 16y
16y + 1y2 + -1y2 = -8y + y2 + 8y + -1y2

Combine like terms: 1y2 + -1y2 = 0
16y + 0 = -8y + y2 + 8y + -1y2
16y = -8y + y2 + 8y + -1y2

Reorder the terms:
16y = -8y + 8y + y2 + -1y2

Combine like terms: -8y + 8y = 0
16y = 0 + y2 + -1y2
16y = y2 + -1y2

Combine like terms: y2 + -1y2 = 0
16y = 0

Ignore the factor 16.

Subproblem 1
Set the factor 'y' equal to zero and attempt to solve:

Simplifying
y = 0

Solving
y = 0

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

Simplifying
y = 0
Solution
y = {0}

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