(y-5)(2y-2)=

Solution for (y-5)(2y-2)= equation:

Simplifying
(y + -5)(2y + -2) = 0

Reorder the terms:
(-5 + y)(2y + -2) = 0

Reorder the terms:
(-5 + y)(-2 + 2y) = 0

Multiply (-5 + y) * (-2 + 2y)
(-5(-2 + 2y) + y(-2 + 2y)) = 0
((-2 * -5 + 2y * -5) + y(-2 + 2y)) = 0
((10 + -10y) + y(-2 + 2y)) = 0
(10 + -10y + (-2 * y + 2y * y)) = 0
(10 + -10y + (-2y + 2y2)) = 0

Combine like terms: -10y + -2y = -12y
(10 + -12y + 2y2) = 0

Solving
10 + -12y + 2y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '2'.
2(5 + -6y + y2) = 0

Factor a trinomial.
2((1 + -1y)(5 + -1y)) = 0

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

Simplifying
1 + -1y = 0

Solving
1 + -1y = 0

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

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

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

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

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

Simplifying
y = 1
Subproblem 2
Set the factor '(5 + -1y)' equal to zero and attempt to solve:

Simplifying
5 + -1y = 0

Solving
5 + -1y = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1y = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1y = 0 + -5
-1y = 0 + -5

Combine like terms: 0 + -5 = -5
-1y = -5

Divide each side by '-1'.
y = 5

Simplifying
y = 5
Solution
y = {1, 5}