(2y-7)(4y+4)=

Solution for (2y-7)(4y+4)= equation:

Simplifying
(2y + -7)(4y + 4) = 0

Reorder the terms:
(-7 + 2y)(4y + 4) = 0

Reorder the terms:
(-7 + 2y)(4 + 4y) = 0

Multiply (-7 + 2y) * (4 + 4y)
(-7(4 + 4y) + 2y * (4 + 4y)) = 0
((4 * -7 + 4y * -7) + 2y * (4 + 4y)) = 0
((-28 + -28y) + 2y * (4 + 4y)) = 0
(-28 + -28y + (4 * 2y + 4y * 2y)) = 0
(-28 + -28y + (8y + 8y2)) = 0

Combine like terms: -28y + 8y = -20y
(-28 + -20y + 8y2) = 0

Solving
-28 + -20y + 8y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-7 + -5y + 2y2) = 0

Factor a trinomial.
4((-1 + -1y)(7 + -2y)) = 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 '(7 + -2y)' equal to zero and attempt to solve:

Simplifying
7 + -2y = 0

Solving
7 + -2y = 0

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

Add '-7' to each side of the equation.
7 + -7 + -2y = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -2y = 0 + -7
-2y = 0 + -7

Combine like terms: 0 + -7 = -7
-2y = -7

Divide each side by '-2'.
y = 3.5

Simplifying
y = 3.5
Solution
y = {-1, 3.5}