2y(x-1)-8x(y-1)=

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Solution for 2y(x-1)-8x(y-1)= equation: 


Simplifying
2y(x + -1) + -8x(y + -1) = 0

Reorder the terms:
2y(-1 + x) + -8x(y + -1) = 0
(-1 * 2y + x * 2y) + -8x(y + -1) = 0

Reorder the terms:
(2xy + -2y) + -8x(y + -1) = 0
(2xy + -2y) + -8x(y + -1) = 0

Reorder the terms:
2xy + -2y + -8x(-1 + y) = 0
2xy + -2y + (-1 * -8x + y * -8x) = 0
2xy + -2y + (8x + -8xy) = 0

Reorder the terms:
8x + 2xy + -8xy + -2y = 0

Combine like terms: 2xy + -8xy = -6xy
8x + -6xy + -2y = 0

Solving
8x + -6xy + -2y = 0

Solving for variable 'x'.

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

Add '2y' to each side of the equation.
8x + -6xy + -2y + 2y = 0 + 2y

Combine like terms: -2y + 2y = 0
8x + -6xy + 0 = 0 + 2y
8x + -6xy = 0 + 2y
Remove the zero:
8x + -6xy = 2y

Combine like terms: 2y + -2y = 0
8x + -6xy + -2y = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(4x + -3xy + -1y) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(4x + -3xy + -1y)' equal to zero and attempt to solve:

Simplifying
4x + -3xy + -1y = 0

Solving
4x + -3xy + -1y = 0

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

Add 'y' to each side of the equation.
4x + -3xy + -1y + y = 0 + y

Combine like terms: -1y + y = 0
4x + -3xy + 0 = 0 + y
4x + -3xy = 0 + y
Remove the zero:
4x + -3xy = y

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.

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