-2=-y(6y+1)

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

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

Reorder the terms:
-2 = -1y(1 + 6y)
-2 = (1 * -1y + 6y * -1y)
-2 = (-1y + -6y2)

Solving
-2 = -1y + -6y2

Solving for variable 'y'.

Reorder the terms:
-2 + y + 6y2 = -1y + y + -6y2 + 6y2

Combine like terms: -1y + y = 0
-2 + y + 6y2 = 0 + -6y2 + 6y2
-2 + y + 6y2 = -6y2 + 6y2

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

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

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

Simplifying
-2 + -3y = 0

Solving
-2 + -3y = 0

Move all terms containing y to the left, all other terms to the right.

Add '2' to each side of the equation.
-2 + 2 + -3y = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -3y = 0 + 2
-3y = 0 + 2

Combine like terms: 0 + 2 = 2
-3y = 2

Divide each side by '-3'.
y = -0.6666666667

Simplifying
y = -0.6666666667
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 = {-0.6666666667, 0.5}