-36=4(y-5)6y

Solution for -36=4(y-5)6y equation:

Simplifying
-36 = 4(y + -5) * 6y

Reorder the terms:
-36 = 4(-5 + y) * 6y

Reorder the terms for easier multiplication:
-36 = 4 * 6y(-5 + y)

Multiply 4 * 6
-36 = 24y(-5 + y)
-36 = (-5 * 24y + y * 24y)
-36 = (-120y + 24y2)

Solving
-36 = -120y + 24y2

Solving for variable 'y'.

Reorder the terms:
-36 + 120y + -24y2 = -120y + 120y + 24y2 + -24y2

Combine like terms: -120y + 120y = 0
-36 + 120y + -24y2 = 0 + 24y2 + -24y2
-36 + 120y + -24y2 = 24y2 + -24y2

Combine like terms: 24y2 + -24y2 = 0
-36 + 120y + -24y2 = 0

Factor out the Greatest Common Factor (GCF), '12'.
12(-3 + 10y + -2y2) = 0

Ignore the factor 12.
Subproblem 1
Set the factor '(-3 + 10y + -2y2)' equal to zero and attempt to solve:

Simplifying
-3 + 10y + -2y2 = 0

Solving
-3 + 10y + -2y2 = 0

Begin completing the square.  Divide all terms by
-2 the coefficient of the squared term: 

Divide each side by '-2'.
1.5 + -5y + y2 = 0

Move the constant term to the right:

Add '-1.5' to each side of the equation.
1.5 + -5y + -1.5 + y2 = 0 + -1.5

Reorder the terms:
1.5 + -1.5 + -5y + y2 = 0 + -1.5

Combine like terms: 1.5 + -1.5 = 0.0
0.0 + -5y + y2 = 0 + -1.5
-5y + y2 = 0 + -1.5

Combine like terms: 0 + -1.5 = -1.5
-5y + y2 = -1.5

The y term is -5y.  Take half its coefficient (-2.5).
Square it (6.25) and add it to both sides.

Add '6.25' to each side of the equation.
-5y + 6.25 + y2 = -1.5 + 6.25

Reorder the terms:
6.25 + -5y + y2 = -1.5 + 6.25

Combine like terms: -1.5 + 6.25 = 4.75
6.25 + -5y + y2 = 4.75

Factor a perfect square on the left side:
(y + -2.5)(y + -2.5) = 4.75

Calculate the square root of the right side: 2.179449472

Break this problem into two subproblems by setting 
(y + -2.5) equal to 2.179449472 and -2.179449472.

Subproblem 1
y + -2.5 = 2.179449472

Simplifying
y + -2.5 = 2.179449472

Reorder the terms:
-2.5 + y = 2.179449472

Solving
-2.5 + y = 2.179449472

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '2.5' to each side of the equation.
-2.5 + 2.5 + y = 2.179449472 + 2.5

Combine like terms: -2.5 + 2.5 = 0.0
0.0 + y = 2.179449472 + 2.5
y = 2.179449472 + 2.5

Combine like terms: 2.179449472 + 2.5 = 4.679449472
y = 4.679449472

Simplifying
y = 4.679449472

Subproblem 2
y + -2.5 = -2.179449472

Simplifying
y + -2.5 = -2.179449472

Reorder the terms:
-2.5 + y = -2.179449472

Solving
-2.5 + y = -2.179449472

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '2.5' to each side of the equation.
-2.5 + 2.5 + y = -2.179449472 + 2.5

Combine like terms: -2.5 + 2.5 = 0.0
0.0 + y = -2.179449472 + 2.5
y = -2.179449472 + 2.5

Combine like terms: -2.179449472 + 2.5 = 0.320550528
y = 0.320550528

Simplifying
y = 0.320550528

Solution
The solution to the problem is based on the solutions
from the subproblems.
y = {4.679449472, 0.320550528}
Solution
y = {4.679449472, 0.320550528}