y+x-y-y+x=8x

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Solution for y+x-y-y+x=8x equation: 


Simplifying
y + x + -1y + -1y + x = 8x

Reorder the terms:
x + x + y + -1y + -1y = 8x

Combine like terms: x + x = 2x
2x + y + -1y + -1y = 8x

Combine like terms: y + -1y = 0
2x + 0 + -1y = 8x
2x + -1y = 8x

Solving
2x + -1y = 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
2x + -8x + -1y = 8x + -8x

Combine like terms: 2x + -8x = -6x
-6x + -1y = 8x + -8x

Combine like terms: 8x + -8x = 0
-6x + -1y = 0

Add 'y' to each side of the equation.
-6x + -1y + y = 0 + y

Combine like terms: -1y + y = 0
-6x + 0 = 0 + y
-6x = 0 + y
Remove the zero:
-6x = y

Divide each side by '-6'.
x = -0.1666666667y

Simplifying
x = -0.1666666667y

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