-8y=2y^2+6

Solution for -8y=2y^2+6 equation:

Simplifying
-8y = 2y2 + 6

Reorder the terms:
-8y = 6 + 2y2

Solving
-8y = 6 + 2y2

Solving for variable 'y'.

Reorder the terms:
-6 + -8y + -2y2 = 6 + 2y2 + -6 + -2y2

Reorder the terms:
-6 + -8y + -2y2 = 6 + -6 + 2y2 + -2y2

Combine like terms: 6 + -6 = 0
-6 + -8y + -2y2 = 0 + 2y2 + -2y2
-6 + -8y + -2y2 = 2y2 + -2y2

Combine like terms: 2y2 + -2y2 = 0
-6 + -8y + -2y2 = 0

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

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

Ignore the factor -2.
Subproblem 1
Set the factor '(3 + y)' equal to zero and attempt to solve:

Simplifying
3 + y = 0

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

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

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

Simplifying
y = -3
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 = {-3, -1}