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

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

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

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

Multiply (-2 + 4y) * (4 + -2y)
(-2(4 + -2y) + 4y * (4 + -2y)) = 0
((4 * -2 + -2y * -2) + 4y * (4 + -2y)) = 0
((-8 + 4y) + 4y * (4 + -2y)) = 0
(-8 + 4y + (4 * 4y + -2y * 4y)) = 0
(-8 + 4y + (16y + -8y2)) = 0

Combine like terms: 4y + 16y = 20y
(-8 + 20y + -8y2) = 0

Solving
-8 + 20y + -8y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-2 + 5y + -2y2) = 0

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

Ignore the factor 4.
Subproblem 1
Set the factor '(-2 + y)' equal to zero and attempt to solve:

Simplifying
-2 + y = 0

Solving
-2 + y = 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 + y = 0 + 2

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

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

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

Simplifying
1 + -2y = 0

Solving
1 + -2y = 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 + -2y = 0 + -1

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

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

Divide each side by '-2'.
y = 0.5

Simplifying
y = 0.5
Solution
y = {2, 0.5}