8y=-4y^2-4

Solution for 8y=-4y^2-4 equation:

Simplifying
8y = -4y2 + -4

Reorder the terms:
8y = -4 + -4y2

Solving
8y = -4 + -4y2

Solving for variable 'y'.

Reorder the terms:
4 + 8y + 4y2 = -4 + -4y2 + 4 + 4y2

Reorder the terms:
4 + 8y + 4y2 = -4 + 4 + -4y2 + 4y2

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

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

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

Factor a trinomial.
4((1 + y)(1 + y)) = 0

Ignore the factor 4.
Subproblem 1
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
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 = {-1, -1}