-32=-6+2y(y-4)

Solution for -32=-6+2y(y-4) equation:

Simplifying
-32 = -6 + 2y(y + -4)

Reorder the terms:
-32 = -6 + 2y(-4 + y)
-32 = -6 + (-4 * 2y + y * 2y)
-32 = -6 + (-8y + 2y2)

Solving
-32 = -6 + -8y + 2y2

Solving for variable 'y'.

Combine like terms: -32 + 6 = -26
-26 + 8y + -2y2 = -6 + -8y + 2y2 + 6 + 8y + -2y2

Reorder the terms:
-26 + 8y + -2y2 = -6 + 6 + -8y + 8y + 2y2 + -2y2

Combine like terms: -6 + 6 = 0
-26 + 8y + -2y2 = 0 + -8y + 8y + 2y2 + -2y2
-26 + 8y + -2y2 = -8y + 8y + 2y2 + -2y2

Combine like terms: -8y + 8y = 0
-26 + 8y + -2y2 = 0 + 2y2 + -2y2
-26 + 8y + -2y2 = 2y2 + -2y2

Combine like terms: 2y2 + -2y2 = 0
-26 + 8y + -2y2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-13 + 4y + -1y2) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-13 + 4y + -1y2)' equal to zero and attempt to solve:

Simplifying
-13 + 4y + -1y2 = 0

Solving
-13 + 4y + -1y2 = 0

Begin completing the square.  Divide all terms by
-1 the coefficient of the squared term: 

Divide each side by '-1'.
13 + -4y + y2 = 0

Move the constant term to the right:

Add '-13' to each side of the equation.
13 + -4y + -13 + y2 = 0 + -13

Reorder the terms:
13 + -13 + -4y + y2 = 0 + -13

Combine like terms: 13 + -13 = 0
0 + -4y + y2 = 0 + -13
-4y + y2 = 0 + -13

Combine like terms: 0 + -13 = -13
-4y + y2 = -13

The y term is -4y.  Take half its coefficient (-2).
Square it (4) and add it to both sides.

Add '4' to each side of the equation.
-4y + 4 + y2 = -13 + 4

Reorder the terms:
4 + -4y + y2 = -13 + 4

Combine like terms: -13 + 4 = -9
4 + -4y + y2 = -9

Factor a perfect square on the left side:
(y + -2)(y + -2) = -9

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.