(3y-1)(4y+4)=

Solution for (3y-1)(4y+4)= equation:

Simplifying
(3y + -1)(4y + 4) = 0

Reorder the terms:
(-1 + 3y)(4y + 4) = 0

Reorder the terms:
(-1 + 3y)(4 + 4y) = 0

Multiply (-1 + 3y) * (4 + 4y)
(-1(4 + 4y) + 3y * (4 + 4y)) = 0
((4 * -1 + 4y * -1) + 3y * (4 + 4y)) = 0
((-4 + -4y) + 3y * (4 + 4y)) = 0
(-4 + -4y + (4 * 3y + 4y * 3y)) = 0
(-4 + -4y + (12y + 12y2)) = 0

Combine like terms: -4y + 12y = 8y
(-4 + 8y + 12y2) = 0

Solving
-4 + 8y + 12y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-1 + 2y + 3y2) = 0

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

Simplifying
1 + -3y = 0

Solving
1 + -3y = 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 + -3y = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -3y = 0 + -1
-3y = 0 + -1

Combine like terms: 0 + -1 = -1
-3y = -1

Divide each side by '-3'.
y = 0.3333333333

Simplifying
y = 0.3333333333
Solution
y = {-1, 0.3333333333}