3y+x=y-x

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Solution for 3y+x=y-x equation:


Simplifying
3y + x = y + -1x

Reorder the terms:
x + 3y = y + -1x

Reorder the terms:
x + 3y = -1x + y

Solving
x + 3y = -1x + y

Solving for variable 'x'.

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

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

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

Combine like terms: -1x + x = 0
2x + 3y = 0 + y
2x + 3y = y

Add '-3y' to each side of the equation.
2x + 3y + -3y = y + -3y

Combine like terms: 3y + -3y = 0
2x + 0 = y + -3y
2x = y + -3y

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

Divide each side by '2'.
x = -1y

Simplifying
x = -1y

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