-3y(5y-2)-y=-3(y-2)

Solution for -3y(5y-2)-y=-3(y-2) equation:

Simplifying
-3y(5y + -2) + -1y = -3(y + -2)

Reorder the terms:
-3y(-2 + 5y) + -1y = -3(y + -2)
(-2 * -3y + 5y * -3y) + -1y = -3(y + -2)
(6y + -15y2) + -1y = -3(y + -2)

Reorder the terms:
6y + -1y + -15y2 = -3(y + -2)

Combine like terms: 6y + -1y = 5y
5y + -15y2 = -3(y + -2)

Reorder the terms:
5y + -15y2 = -3(-2 + y)
5y + -15y2 = (-2 * -3 + y * -3)
5y + -15y2 = (6 + -3y)

Solving
5y + -15y2 = 6 + -3y

Solving for variable 'y'.

Reorder the terms:
-6 + 5y + 3y + -15y2 = 6 + -3y + -6 + 3y

Combine like terms: 5y + 3y = 8y
-6 + 8y + -15y2 = 6 + -3y + -6 + 3y

Reorder the terms:
-6 + 8y + -15y2 = 6 + -6 + -3y + 3y

Combine like terms: 6 + -6 = 0
-6 + 8y + -15y2 = 0 + -3y + 3y
-6 + 8y + -15y2 = -3y + 3y

Combine like terms: -3y + 3y = 0
-6 + 8y + -15y2 = 0

Begin completing the square.  Divide all terms by
-15 the coefficient of the squared term: 

Divide each side by '-15'.
0.4 + -0.5333333333y + y2 = 0

Move the constant term to the right:

Add '-0.4' to each side of the equation.
0.4 + -0.5333333333y + -0.4 + y2 = 0 + -0.4

Reorder the terms:
0.4 + -0.4 + -0.5333333333y + y2 = 0 + -0.4

Combine like terms: 0.4 + -0.4 = 0.0
0.0 + -0.5333333333y + y2 = 0 + -0.4
-0.5333333333y + y2 = 0 + -0.4

Combine like terms: 0 + -0.4 = -0.4
-0.5333333333y + y2 = -0.4

The y term is -0.5333333333y.  Take half its coefficient (-0.2666666667).
Square it (0.07111111113) and add it to both sides.

Add '0.07111111113' to each side of the equation.
-0.5333333333y + 0.07111111113 + y2 = -0.4 + 0.07111111113

Reorder the terms:
0.07111111113 + -0.5333333333y + y2 = -0.4 + 0.07111111113

Combine like terms: -0.4 + 0.07111111113 = -0.32888888887
0.07111111113 + -0.5333333333y + y2 = -0.32888888887

Factor a perfect square on the left side:
(y + -0.2666666667)(y + -0.2666666667) = -0.32888888887

Can't calculate square root of the right side.

The solution to this equation could not be determined.