6y^2-4y=-2y-3

Solution for 6y^2-4y=-2y-3 equation:

Simplifying
6y2 + -4y = -2y + -3

Reorder the terms:
-4y + 6y2 = -2y + -3

Reorder the terms:
-4y + 6y2 = -3 + -2y

Solving
-4y + 6y2 = -3 + -2y

Solving for variable 'y'.

Reorder the terms:
3 + -4y + 2y + 6y2 = -3 + -2y + 3 + 2y

Combine like terms: -4y + 2y = -2y
3 + -2y + 6y2 = -3 + -2y + 3 + 2y

Reorder the terms:
3 + -2y + 6y2 = -3 + 3 + -2y + 2y

Combine like terms: -3 + 3 = 0
3 + -2y + 6y2 = 0 + -2y + 2y
3 + -2y + 6y2 = -2y + 2y

Combine like terms: -2y + 2y = 0
3 + -2y + 6y2 = 0

Begin completing the square.  Divide all terms by
6 the coefficient of the squared term: 

Divide each side by '6'.
0.5 + -0.3333333333y + y2 = 0

Move the constant term to the right:

Add '-0.5' to each side of the equation.
0.5 + -0.3333333333y + -0.5 + y2 = 0 + -0.5

Reorder the terms:
0.5 + -0.5 + -0.3333333333y + y2 = 0 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + -0.3333333333y + y2 = 0 + -0.5
-0.3333333333y + y2 = 0 + -0.5

Combine like terms: 0 + -0.5 = -0.5
-0.3333333333y + y2 = -0.5

The y term is -0.3333333333y.  Take half its coefficient (-0.1666666667).
Square it (0.02777777779) and add it to both sides.

Add '0.02777777779' to each side of the equation.
-0.3333333333y + 0.02777777779 + y2 = -0.5 + 0.02777777779

Reorder the terms:
0.02777777779 + -0.3333333333y + y2 = -0.5 + 0.02777777779

Combine like terms: -0.5 + 0.02777777779 = -0.47222222221
0.02777777779 + -0.3333333333y + y2 = -0.47222222221

Factor a perfect square on the left side:
(y + -0.1666666667)(y + -0.1666666667) = -0.47222222221

Can't calculate square root of the right side.

The solution to this equation could not be determined.