(3y-3)(y+3)=

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

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

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

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

Multiply (-3 + 3y) * (3 + y)
(-3(3 + y) + 3y * (3 + y)) = 0
((3 * -3 + y * -3) + 3y * (3 + y)) = 0
((-9 + -3y) + 3y * (3 + y)) = 0
(-9 + -3y + (3 * 3y + y * 3y)) = 0
(-9 + -3y + (9y + 3y2)) = 0

Combine like terms: -3y + 9y = 6y
(-9 + 6y + 3y2) = 0

Solving
-9 + 6y + 3y2 = 0

Solving for variable 'y'.

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

Factor a trinomial.
3((-3 + -1y)(1 + -1y)) = 0

Ignore the factor 3.
Subproblem 1
Set the factor '(-3 + -1y)' equal to zero and attempt to solve:

Simplifying
-3 + -1y = 0

Solving
-3 + -1y = 0

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

Add '3' to each side of the equation.
-3 + 3 + -1y = 0 + 3

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

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

Divide each side by '-1'.
y = -3

Simplifying
y = -3
Subproblem 2
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
Solution
y = {-3, 1}