-4y(y-1)=6-3y

Solution for -4y(y-1)=6-3y equation:

Simplifying
-4y(y + -1) = 6 + -3y

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

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

Solving for variable 'y'.

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

Combine like terms: 4y + 3y = 7y
-6 + 7y + -4y2 = 6 + -3y + -6 + 3y

Reorder the terms:
-6 + 7y + -4y2 = 6 + -6 + -3y + 3y

Combine like terms: 6 + -6 = 0
-6 + 7y + -4y2 = 0 + -3y + 3y
-6 + 7y + -4y2 = -3y + 3y

Combine like terms: -3y + 3y = 0
-6 + 7y + -4y2 = 0

Begin completing the square.  Divide all terms by
-4 the coefficient of the squared term: 

Divide each side by '-4'.
1.5 + -1.75y + y2 = 0

Move the constant term to the right:

Add '-1.5' to each side of the equation.
1.5 + -1.75y + -1.5 + y2 = 0 + -1.5

Reorder the terms:
1.5 + -1.5 + -1.75y + y2 = 0 + -1.5

Combine like terms: 1.5 + -1.5 = 0.0
0.0 + -1.75y + y2 = 0 + -1.5
-1.75y + y2 = 0 + -1.5

Combine like terms: 0 + -1.5 = -1.5
-1.75y + y2 = -1.5

The y term is -1.75y.  Take half its coefficient (-0.875).
Square it (0.765625) and add it to both sides.

Add '0.765625' to each side of the equation.
-1.75y + 0.765625 + y2 = -1.5 + 0.765625

Reorder the terms:
0.765625 + -1.75y + y2 = -1.5 + 0.765625

Combine like terms: -1.5 + 0.765625 = -0.734375
0.765625 + -1.75y + y2 = -0.734375

Factor a perfect square on the left side:
(y + -0.875)(y + -0.875) = -0.734375

Can't calculate square root of the right side.

The solution to this equation could not be determined.