(4y+4)(3y-5)=0

Solution for (4y+4)(3y-5)=0 equation:

Simplifying
(4y + 4)(3y + -5) = 0

Reorder the terms:
(4 + 4y)(3y + -5) = 0

Reorder the terms:
(4 + 4y)(-5 + 3y) = 0

Multiply (4 + 4y) * (-5 + 3y)
(4(-5 + 3y) + 4y * (-5 + 3y)) = 0
((-5 * 4 + 3y * 4) + 4y * (-5 + 3y)) = 0
((-20 + 12y) + 4y * (-5 + 3y)) = 0
(-20 + 12y + (-5 * 4y + 3y * 4y)) = 0
(-20 + 12y + (-20y + 12y2)) = 0

Combine like terms: 12y + -20y = -8y
(-20 + -8y + 12y2) = 0

Solving
-20 + -8y + 12y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-5 + -2y + 3y2) = 0

Factor a trinomial.
4((-1 + -1y)(5 + -3y)) = 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 '(5 + -3y)' equal to zero and attempt to solve:

Simplifying
5 + -3y = 0

Solving
5 + -3y = 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 + -3y = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -3y = 0 + -5
-3y = 0 + -5

Combine like terms: 0 + -5 = -5
-3y = -5

Divide each side by '-3'.
y = 1.666666667

Simplifying
y = 1.666666667
Solution
y = {-1, 1.666666667}