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

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

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

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

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

Multiply (2 + 2y) * (-4 + 2y)
(2(-4 + 2y) + 2y * (-4 + 2y)) = 0
((-4 * 2 + 2y * 2) + 2y * (-4 + 2y)) = 0
((-8 + 4y) + 2y * (-4 + 2y)) = 0
(-8 + 4y + (-4 * 2y + 2y * 2y)) = 0
(-8 + 4y + (-8y + 4y2)) = 0

Combine like terms: 4y + -8y = -4y
(-8 + -4y + 4y2) = 0

Solving
-8 + -4y + 4y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-2 + -1y + y2) = 0

Factor a trinomial.
4((-1 + -1y)(2 + -1y)) = 0

Ignore the factor 4.
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 '(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 = {-1, 2}