y=(x-6)(y-9)

Solution for y=(x-6)(y-9) equation:

Simplifying
y = (x + -6)(y + -9)

Reorder the terms:
y = (-6 + x)(y + -9)

Reorder the terms:
y = (-6 + x)(-9 + y)

Multiply (-6 + x) * (-9 + y)
y = (-6(-9 + y) + x(-9 + y))
y = ((-9 * -6 + y * -6) + x(-9 + y))
y = ((54 + -6y) + x(-9 + y))
y = (54 + -6y + (-9 * x + y * x))
y = (54 + -6y + (-9x + xy))

Reorder the terms:
y = (54 + -9x + xy + -6y)
y = (54 + -9x + xy + -6y)

Solving
y = 54 + -9x + xy + -6y

Solving for variable 'y'.

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

Add '-1xy' to each side of the equation.
-1xy + y = 54 + -9x + xy + -1xy + -6y

Combine like terms: xy + -1xy = 0
-1xy + y = 54 + -9x + 0 + -6y
-1xy + y = 54 + -9x + -6y

Add '6y' to each side of the equation.
-1xy + y + 6y = 54 + -9x + -6y + 6y

Combine like terms: y + 6y = 7y
-1xy + 7y = 54 + -9x + -6y + 6y

Combine like terms: -6y + 6y = 0
-1xy + 7y = 54 + -9x + 0
-1xy + 7y = 54 + -9x

Reorder the terms:
-54 + 9x + -1xy + 7y = 54 + -9x + -54 + 9x

Reorder the terms:
-54 + 9x + -1xy + 7y = 54 + -54 + -9x + 9x

Combine like terms: 54 + -54 = 0
-54 + 9x + -1xy + 7y = 0 + -9x + 9x
-54 + 9x + -1xy + 7y = -9x + 9x

Combine like terms: -9x + 9x = 0
-54 + 9x + -1xy + 7y = 0

The solution to this equation could not be determined.