(x+y)-(x-1)=

Solution for (x+y)-(x-1)= equation:

Simplifying
(x + y) + -1(x + -1) = 0

Remove parenthesis around (x + y)
x + y + -1(x + -1) = 0

Reorder the terms:
x + y + -1(-1 + x) = 0
x + y + (-1 * -1 + x * -1) = 0
x + y + (1 + -1x) = 0

Reorder the terms:
1 + x + -1x + y = 0

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

Solving
1 + y = 0

Solving for variable 'y'.

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

Add '-1' to each side of the equation.
1 + -1 + y = 0 + -1

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

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

Simplifying
y = -1