-6y=4y^2+2

Solution for -6y=4y^2+2 equation:

Simplifying
-6y = 4y2 + 2

Reorder the terms:
-6y = 2 + 4y2

Solving
-6y = 2 + 4y2

Solving for variable 'y'.

Reorder the terms:
-2 + -6y + -4y2 = 2 + 4y2 + -2 + -4y2

Reorder the terms:
-2 + -6y + -4y2 = 2 + -2 + 4y2 + -4y2

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

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

Factor out the Greatest Common Factor (GCF), '-2'.
-2(1 + 3y + 2y2) = 0

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

Ignore the factor -2.
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 + 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
Solution
y = {-1, -0.5}