-2y(3y-2)-y=-2(y-4)

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Solution for -2y(3y-2)-y=-2(y-4) equation: 


Simplifying
-2y(3y + -2) + -1y = -2(y + -4)

Reorder the terms:
-2y(-2 + 3y) + -1y = -2(y + -4)
(-2 * -2y + 3y * -2y) + -1y = -2(y + -4)
(4y + -6y2) + -1y = -2(y + -4)

Reorder the terms:
4y + -1y + -6y2 = -2(y + -4)

Combine like terms: 4y + -1y = 3y
3y + -6y2 = -2(y + -4)

Reorder the terms:
3y + -6y2 = -2(-4 + y)
3y + -6y2 = (-4 * -2 + y * -2)
3y + -6y2 = (8 + -2y)

Solving
3y + -6y2 = 8 + -2y

Solving for variable 'y'.

Reorder the terms:
-8 + 3y + 2y + -6y2 = 8 + -2y + -8 + 2y

Combine like terms: 3y + 2y = 5y
-8 + 5y + -6y2 = 8 + -2y + -8 + 2y

Reorder the terms:
-8 + 5y + -6y2 = 8 + -8 + -2y + 2y

Combine like terms: 8 + -8 = 0
-8 + 5y + -6y2 = 0 + -2y + 2y
-8 + 5y + -6y2 = -2y + 2y

Combine like terms: -2y + 2y = 0
-8 + 5y + -6y2 = 0

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

Divide each side by '-6'.
1.333333333 + -0.8333333333y + y2 = 0

Move the constant term to the right:

Add '-1.333333333' to each side of the equation.
1.333333333 + -0.8333333333y + -1.333333333 + y2 = 0 + -1.333333333

Reorder the terms:
1.333333333 + -1.333333333 + -0.8333333333y + y2 = 0 + -1.333333333

Combine like terms: 1.333333333 + -1.333333333 = 0.000000000
0.000000000 + -0.8333333333y + y2 = 0 + -1.333333333
-0.8333333333y + y2 = 0 + -1.333333333

Combine like terms: 0 + -1.333333333 = -1.333333333
-0.8333333333y + y2 = -1.333333333

The y term is -0.8333333333y.  Take half its coefficient (-0.4166666667).
Square it (0.1736111111) and add it to both sides.

Add '0.1736111111' to each side of the equation.
-0.8333333333y + 0.1736111111 + y2 = -1.333333333 + 0.1736111111

Reorder the terms:
0.1736111111 + -0.8333333333y + y2 = -1.333333333 + 0.1736111111

Combine like terms: -1.333333333 + 0.1736111111 = -1.1597222219
0.1736111111 + -0.8333333333y + y2 = -1.1597222219

Factor a perfect square on the left side:
(y + -0.4166666667)(y + -0.4166666667) = -1.1597222219

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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