2y+x=8x-y

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


Simplifying
2y + x = 8x + -1y

Reorder the terms:
x + 2y = 8x + -1y

Solving
x + 2y = 8x + -1y

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.
x + -8x + 2y = 8x + -8x + -1y

Combine like terms: x + -8x = -7x
-7x + 2y = 8x + -8x + -1y

Combine like terms: 8x + -8x = 0
-7x + 2y = 0 + -1y
-7x + 2y = -1y

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

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

Combine like terms: -1y + -2y = -3y
-7x = -3y

Divide each side by '-7'.
x = 0.4285714286y

Simplifying
x = 0.4285714286y

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