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

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


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

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

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

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

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

Solving
16 + -8y + y2 = 2y

Solving for variable 'y'.

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

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

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

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


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 '(8 + -1y)' equal to zero and attempt to solve:

Simplifying
8 + -1y = 0

Solving
8 + -1y = 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 + -1y = 0 + -8

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

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

Divide each side by '-1'.
y = 8

Simplifying
y = 8
Solution
y = {2, 8}

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