2x-y=3x+y

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Solution for 2x-y=3x+y equation:


Simplifying
2x + -1y = 3x + y

Solving
2x + -1y = 3x + y

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
2x + -3x + -1y = 3x + -3x + y

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

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

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

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

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

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

Simplifying
x = -2y

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