x+1=-y

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Solution for x+1=-y equation: 


Simplifying
x + 1 = -1y

Reorder the terms:
1 + x = -1y

Solving
1 + x = -1y

Solving for variable 'x'.

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

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

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

Simplifying
x = -1 + -1y

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