3x+2y+40=x-y

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Solution for 3x+2y+40=x-y equation:


Simplifying
3x + 2y + 40 = x + -1y

Reorder the terms:
40 + 3x + 2y = x + -1y

Solving
40 + 3x + 2y = x + -1y

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
40 + 3x + -1x + 2y = x + -1x + -1y

Combine like terms: 3x + -1x = 2x
40 + 2x + 2y = x + -1x + -1y

Combine like terms: x + -1x = 0
40 + 2x + 2y = 0 + -1y
40 + 2x + 2y = -1y

Add '-40' to each side of the equation.
40 + 2x + -40 + 2y = -40 + -1y

Reorder the terms:
40 + -40 + 2x + 2y = -40 + -1y

Combine like terms: 40 + -40 = 0
0 + 2x + 2y = -40 + -1y
2x + 2y = -40 + -1y

Add '-2y' to each side of the equation.
2x + 2y + -2y = -40 + -1y + -2y

Combine like terms: 2y + -2y = 0
2x + 0 = -40 + -1y + -2y
2x = -40 + -1y + -2y

Combine like terms: -1y + -2y = -3y
2x = -40 + -3y

Divide each side by '2'.
x = -20 + -1.5y

Simplifying
x = -20 + -1.5y

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