-2y=4y^2-2

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

Simplifying
-2y = 4y2 + -2

Reorder the terms:
-2y = -2 + 4y2

Solving
-2y = -2 + 4y2

Solving for variable 'y'.

Reorder the terms:
2 + -2y + -4y2 = -2 + 4y2 + 2 + -4y2

Reorder the terms:
2 + -2y + -4y2 = -2 + 2 + 4y2 + -4y2

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

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

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

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

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

Simplifying
1 + -2y = 0

Solving
1 + -2y = 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 + -2y = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -2y = 0 + -1
-2y = 0 + -1

Combine like terms: 0 + -1 = -1
-2y = -1

Divide each side by '-2'.
y = 0.5

Simplifying
y = 0.5
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 = {0.5, -1}