3x+2y=4x-y

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Solution for 3x+2y=4x-y equation:


Simplifying
3x + 2y = 4x + -1y

Solving
3x + 2y = 4x + -1y

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
3x + -4x + 2y = 4x + -4x + -1y

Combine like terms: 3x + -4x = -1x
-1x + 2y = 4x + -4x + -1y

Combine like terms: 4x + -4x = 0
-1x + 2y = 0 + -1y
-1x + 2y = -1y

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

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

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

Divide each side by '-1'.
x = 3y

Simplifying
x = 3y

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