-5y(6y-3)-y=-3(y-5)

Solution for -5y(6y-3)-y=-3(y-5) equation:

Simplifying
-5y(6y + -3) + -1y = -3(y + -5)

Reorder the terms:
-5y(-3 + 6y) + -1y = -3(y + -5)
(-3 * -5y + 6y * -5y) + -1y = -3(y + -5)
(15y + -30y2) + -1y = -3(y + -5)

Reorder the terms:
15y + -1y + -30y2 = -3(y + -5)

Combine like terms: 15y + -1y = 14y
14y + -30y2 = -3(y + -5)

Reorder the terms:
14y + -30y2 = -3(-5 + y)
14y + -30y2 = (-5 * -3 + y * -3)
14y + -30y2 = (15 + -3y)

Solving
14y + -30y2 = 15 + -3y

Solving for variable 'y'.

Reorder the terms:
-15 + 14y + 3y + -30y2 = 15 + -3y + -15 + 3y

Combine like terms: 14y + 3y = 17y
-15 + 17y + -30y2 = 15 + -3y + -15 + 3y

Reorder the terms:
-15 + 17y + -30y2 = 15 + -15 + -3y + 3y

Combine like terms: 15 + -15 = 0
-15 + 17y + -30y2 = 0 + -3y + 3y
-15 + 17y + -30y2 = -3y + 3y

Combine like terms: -3y + 3y = 0
-15 + 17y + -30y2 = 0

Begin completing the square.  Divide all terms by
-30 the coefficient of the squared term: 

Divide each side by '-30'.
0.5 + -0.5666666667y + y2 = 0.0

Move the constant term to the right:

Add '-0.5' to each side of the equation.
0.5 + -0.5666666667y + -0.5 + y2 = 0.0 + -0.5

Reorder the terms:
0.5 + -0.5 + -0.5666666667y + y2 = 0.0 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + -0.5666666667y + y2 = 0.0 + -0.5
-0.5666666667y + y2 = 0.0 + -0.5

Combine like terms: 0.0 + -0.5 = -0.5
-0.5666666667y + y2 = -0.5

The y term is -0.5666666667y.  Take half its coefficient (-0.2833333334).
Square it (0.08027777782) and add it to both sides.

Add '0.08027777782' to each side of the equation.
-0.5666666667y + 0.08027777782 + y2 = -0.5 + 0.08027777782

Reorder the terms:
0.08027777782 + -0.5666666667y + y2 = -0.5 + 0.08027777782

Combine like terms: -0.5 + 0.08027777782 = -0.41972222218
0.08027777782 + -0.5666666667y + y2 = -0.41972222218

Factor a perfect square on the left side:
(y + -0.2833333334)(y + -0.2833333334) = -0.41972222218

Can't calculate square root of the right side.

The solution to this equation could not be determined.