8y(y-1)-3y=6(2y-6)

Solution for 8y(y-1)-3y=6(2y-6) equation:

Simplifying
8y(y + -1) + -3y = 6(2y + -6)

Reorder the terms:
8y(-1 + y) + -3y = 6(2y + -6)
(-1 * 8y + y * 8y) + -3y = 6(2y + -6)
(-8y + 8y2) + -3y = 6(2y + -6)

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

Combine like terms: -8y + -3y = -11y
-11y + 8y2 = 6(2y + -6)

Reorder the terms:
-11y + 8y2 = 6(-6 + 2y)
-11y + 8y2 = (-6 * 6 + 2y * 6)
-11y + 8y2 = (-36 + 12y)

Solving
-11y + 8y2 = -36 + 12y

Solving for variable 'y'.

Reorder the terms:
36 + -11y + -12y + 8y2 = -36 + 12y + 36 + -12y

Combine like terms: -11y + -12y = -23y
36 + -23y + 8y2 = -36 + 12y + 36 + -12y

Reorder the terms:
36 + -23y + 8y2 = -36 + 36 + 12y + -12y

Combine like terms: -36 + 36 = 0
36 + -23y + 8y2 = 0 + 12y + -12y
36 + -23y + 8y2 = 12y + -12y

Combine like terms: 12y + -12y = 0
36 + -23y + 8y2 = 0

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

Divide each side by '8'.
4.5 + -2.875y + y2 = 0

Move the constant term to the right:

Add '-4.5' to each side of the equation.
4.5 + -2.875y + -4.5 + y2 = 0 + -4.5

Reorder the terms:
4.5 + -4.5 + -2.875y + y2 = 0 + -4.5

Combine like terms: 4.5 + -4.5 = 0.0
0.0 + -2.875y + y2 = 0 + -4.5
-2.875y + y2 = 0 + -4.5

Combine like terms: 0 + -4.5 = -4.5
-2.875y + y2 = -4.5

The y term is -2.875y.  Take half its coefficient (-1.4375).
Square it (2.06640625) and add it to both sides.

Add '2.06640625' to each side of the equation.
-2.875y + 2.06640625 + y2 = -4.5 + 2.06640625

Reorder the terms:
2.06640625 + -2.875y + y2 = -4.5 + 2.06640625

Combine like terms: -4.5 + 2.06640625 = -2.43359375
2.06640625 + -2.875y + y2 = -2.43359375

Factor a perfect square on the left side:
(y + -1.4375)(y + -1.4375) = -2.43359375

Can't calculate square root of the right side.

The solution to this equation could not be determined.