-6y^2-y=-1

Solution for -6y^2-y=-1 equation:

Simplifying
-6y2 + -1y = -1

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

Solving
-1y + -6y2 = -1

Solving for variable 'y'.

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

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

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

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

Simplifying
1 + -3y = 0

Solving
1 + -3y = 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 + -3y = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -3y = 0 + -1
-3y = 0 + -1

Combine like terms: 0 + -1 = -1
-3y = -1

Divide each side by '-3'.
y = 0.3333333333

Simplifying
y = 0.3333333333
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 = {0.3333333333, -0.5}