x+y=a-b

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Solution for x+y=a-b equation: 


Simplifying
x + y = a + -1b

Solving
x + y = a + -1b

Solving for variable 'x'.

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

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

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

Simplifying
x = a + -1b + -1y

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