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

Solution for (2y-4)(y+1)= equation:

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

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

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

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

Combine like terms: -4y + 2y = -2y
(-4 + -2y + 2y2) = 0

Solving
-4 + -2y + 2y2 = 0

Solving for variable 'y'.

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

Factor a trinomial.
2((-1 + -1y)(2 + -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 '(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}