2y-(y-4)(y-4)=0

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Solution for 2y-(y-4)(y-4)=0 equation: 


Simplifying
2y + -1(y + -4)(y + -4) = 0

Reorder the terms:
2y + -1(-4 + y)(y + -4) = 0

Reorder the terms:
2y + -1(-4 + y)(-4 + y) = 0

Multiply (-4 + y) * (-4 + y)
2y + -1(-4(-4 + y) + y(-4 + y)) = 0
2y + -1((-4 * -4 + y * -4) + y(-4 + y)) = 0
2y + -1((16 + -4y) + y(-4 + y)) = 0
2y + -1(16 + -4y + (-4 * y + y * y)) = 0
2y + -1(16 + -4y + (-4y + y2)) = 0

Combine like terms: -4y + -4y = -8y
2y + -1(16 + -8y + y2) = 0
2y + (16 * -1 + -8y * -1 + y2 * -1) = 0
2y + (-16 + 8y + -1y2) = 0

Reorder the terms:
-16 + 2y + 8y + -1y2 = 0

Combine like terms: 2y + 8y = 10y
-16 + 10y + -1y2 = 0

Solving
-16 + 10y + -1y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(-8 + y)(2 + -1y) = 0


Subproblem 1
Set the factor '(-8 + y)' equal to zero and attempt to solve:

Simplifying
-8 + y = 0

Solving
-8 + y = 0

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

Add '8' to each side of the equation.
-8 + 8 + y = 0 + 8

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

Combine like terms: 0 + 8 = 8
y = 8

Simplifying
y = 8

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 = {8, 2}

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