(4y-8)(4y-8)=

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Solution for (4y-8)(4y-8)= equation: 


Simplifying
(4y + -8)(4y + -8) = 0

Reorder the terms:
(-8 + 4y)(4y + -8) = 0

Reorder the terms:
(-8 + 4y)(-8 + 4y) = 0

Multiply (-8 + 4y) * (-8 + 4y)
(-8(-8 + 4y) + 4y * (-8 + 4y)) = 0
((-8 * -8 + 4y * -8) + 4y * (-8 + 4y)) = 0
((64 + -32y) + 4y * (-8 + 4y)) = 0
(64 + -32y + (-8 * 4y + 4y * 4y)) = 0
(64 + -32y + (-32y + 16y2)) = 0

Combine like terms: -32y + -32y = -64y
(64 + -64y + 16y2) = 0

Solving
64 + -64y + 16y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '16'.
16(4 + -4y + y2) = 0

Factor a trinomial.
16((2 + -1y)(2 + -1y)) = 0

Ignore the factor 16.

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

Simplifying
2 + -1y = 0

Solving
2 + -1y = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1y = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1y = 0 + -2
-1y = 0 + -2

Combine like terms: 0 + -2 = -2
-1y = -2

Divide each side by '-1'.
y = 2

Simplifying
y = 2

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

Simplifying
2 + -1y = 0

Solving
2 + -1y = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1y = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1y = 0 + -2
-1y = 0 + -2

Combine like terms: 0 + -2 = -2
-1y = -2

Divide each side by '-1'.
y = 2

Simplifying
y = 2
Solution
y = {2, 2}

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