y(y+8)=16(y-1)

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Solution for y(y+8)=16(y-1) equation: 


Simplifying
y(y + 8) = 16(y + -1)

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

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

Solving
8y + y2 = -16 + 16y

Solving for variable 'y'.

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

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

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

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

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

Factor a trinomial.
(4 + -1y)(4 + -1y) = 0


Subproblem 1
Set the factor '(4 + -1y)' equal to zero and attempt to solve:

Simplifying
4 + -1y = 0

Solving
4 + -1y = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1y = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1y = 0 + -4
-1y = 0 + -4

Combine like terms: 0 + -4 = -4
-1y = -4

Divide each side by '-1'.
y = 4

Simplifying
y = 4

Subproblem 2
Set the factor '(4 + -1y)' equal to zero and attempt to solve:

Simplifying
4 + -1y = 0

Solving
4 + -1y = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1y = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1y = 0 + -4
-1y = 0 + -4

Combine like terms: 0 + -4 = -4
-1y = -4

Divide each side by '-1'.
y = 4

Simplifying
y = 4
Solution
y = {4, 4}

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