(2y+2)(y+6)=

Solution for (2y+2)(y+6)= equation:

Simplifying
(2y + 2)(y + 6) = 0

Reorder the terms:
(2 + 2y)(y + 6) = 0

Reorder the terms:
(2 + 2y)(6 + y) = 0

Multiply (2 + 2y) * (6 + y)
(2(6 + y) + 2y * (6 + y)) = 0
((6 * 2 + y * 2) + 2y * (6 + y)) = 0
((12 + 2y) + 2y * (6 + y)) = 0
(12 + 2y + (6 * 2y + y * 2y)) = 0
(12 + 2y + (12y + 2y2)) = 0

Combine like terms: 2y + 12y = 14y
(12 + 14y + 2y2) = 0

Solving
12 + 14y + 2y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '2'.
2(6 + 7y + y2) = 0

Factor a trinomial.
2((6 + y)(1 + y)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(6 + y)' equal to zero and attempt to solve:

Simplifying
6 + y = 0

Solving
6 + y = 0

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

Add '-6' to each side of the equation.
6 + -6 + y = 0 + -6

Combine like terms: 6 + -6 = 0
0 + y = 0 + -6
y = 0 + -6

Combine like terms: 0 + -6 = -6
y = -6

Simplifying
y = -6
Subproblem 2
Set the factor '(1 + y)' equal to zero and attempt to solve:

Simplifying
1 + y = 0

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

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

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

Simplifying
y = -1
Solution
y = {-6, -1}