y(y-4)=2(y-8)

Solution for y(y-4)=2(y-8) equation:

Simplifying
y(y + -4) = 2(y + -8)

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

Reorder the terms:
-4y + y2 = 2(-8 + y)
-4y + y2 = (-8 * 2 + y * 2)
-4y + y2 = (-16 + 2y)

Solving
-4y + y2 = -16 + 2y

Solving for variable 'y'.

Reorder the terms:
16 + -4y + -2y + y2 = -16 + 2y + 16 + -2y

Combine like terms: -4y + -2y = -6y
16 + -6y + y2 = -16 + 2y + 16 + -2y

Reorder the terms:
16 + -6y + y2 = -16 + 16 + 2y + -2y

Combine like terms: -16 + 16 = 0
16 + -6y + y2 = 0 + 2y + -2y
16 + -6y + y2 = 2y + -2y

Combine like terms: 2y + -2y = 0
16 + -6y + y2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-16' to each side of the equation.
16 + -6y + -16 + y2 = 0 + -16

Reorder the terms:
16 + -16 + -6y + y2 = 0 + -16

Combine like terms: 16 + -16 = 0
0 + -6y + y2 = 0 + -16
-6y + y2 = 0 + -16

Combine like terms: 0 + -16 = -16
-6y + y2 = -16

The y term is -6y.  Take half its coefficient (-3).
Square it (9) and add it to both sides.

Add '9' to each side of the equation.
-6y + 9 + y2 = -16 + 9

Reorder the terms:
9 + -6y + y2 = -16 + 9

Combine like terms: -16 + 9 = -7
9 + -6y + y2 = -7

Factor a perfect square on the left side:
(y + -3)(y + -3) = -7

Can't calculate square root of the right side.

The solution to this equation could not be determined.