y*4y=3y-24

Solution for y*4y=3y-24 equation:

Simplifying
y * 4y = 3y + -24

Reorder the terms for easier multiplication:
4y * y = 3y + -24

Multiply y * y
4y2 = 3y + -24

Reorder the terms:
4y2 = -24 + 3y

Solving
4y2 = -24 + 3y

Solving for variable 'y'.

Reorder the terms:
24 + -3y + 4y2 = -24 + 3y + 24 + -3y

Reorder the terms:
24 + -3y + 4y2 = -24 + 24 + 3y + -3y

Combine like terms: -24 + 24 = 0
24 + -3y + 4y2 = 0 + 3y + -3y
24 + -3y + 4y2 = 3y + -3y

Combine like terms: 3y + -3y = 0
24 + -3y + 4y2 = 0

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

Divide each side by '4'.
6 + -0.75y + y2 = 0

Move the constant term to the right:

Add '-6' to each side of the equation.
6 + -0.75y + -6 + y2 = 0 + -6

Reorder the terms:
6 + -6 + -0.75y + y2 = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -0.75y + y2 = 0 + -6
-0.75y + y2 = 0 + -6

Combine like terms: 0 + -6 = -6
-0.75y + y2 = -6

The y term is -0.75y.  Take half its coefficient (-0.375).
Square it (0.140625) and add it to both sides.

Add '0.140625' to each side of the equation.
-0.75y + 0.140625 + y2 = -6 + 0.140625

Reorder the terms:
0.140625 + -0.75y + y2 = -6 + 0.140625

Combine like terms: -6 + 0.140625 = -5.859375
0.140625 + -0.75y + y2 = -5.859375

Factor a perfect square on the left side:
(y + -0.375)(y + -0.375) = -5.859375

Can't calculate square root of the right side.

The solution to this equation could not be determined.