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

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


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

Combine like terms: y + -8y = -7y
x + -7y = 2(x + y)
x + -7y = (x * 2 + y * 2)
x + -7y = (2x + 2y)

Solving
x + -7y = 2x + 2y

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
x + -2x + -7y = 2x + -2x + 2y

Combine like terms: x + -2x = -1x
-1x + -7y = 2x + -2x + 2y

Combine like terms: 2x + -2x = 0
-1x + -7y = 0 + 2y
-1x + -7y = 2y

Add '7y' to each side of the equation.
-1x + -7y + 7y = 2y + 7y

Combine like terms: -7y + 7y = 0
-1x + 0 = 2y + 7y
-1x = 2y + 7y

Combine like terms: 2y + 7y = 9y
-1x = 9y

Divide each side by '-1'.
x = -9y

Simplifying
x = -9y

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