(2y+6)(y-1)=0

Solution for (2y+6)(y-1)=0 equation:

Simplifying
(2y + 6)(y + -1) = 0

Reorder the terms:
(6 + 2y)(y + -1) = 0

Reorder the terms:
(6 + 2y)(-1 + y) = 0

Multiply (6 + 2y) * (-1 + y)
(6(-1 + y) + 2y * (-1 + y)) = 0
((-1 * 6 + y * 6) + 2y * (-1 + y)) = 0
((-6 + 6y) + 2y * (-1 + y)) = 0
(-6 + 6y + (-1 * 2y + y * 2y)) = 0
(-6 + 6y + (-2y + 2y2)) = 0

Combine like terms: 6y + -2y = 4y
(-6 + 4y + 2y2) = 0

Solving
-6 + 4y + 2y2 = 0

Solving for variable 'y'.

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

Factor a trinomial.
2((-3 + -1y)(1 + -1y)) = 0

Ignore the factor 2.
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}