x-(x-2)=y

Solution for x-(x-2)=y equation:

Simplifying
x + -1(x + -2) = y

Reorder the terms:
x + -1(-2 + x) = y
x + (-2 * -1 + x * -1) = y
x + (2 + -1x) = y

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

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

Solving
2 = y

Solving for variable 'y'.

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

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

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

Add '-2' to each side of the equation.
2 + -2 + -1y = 0 + -2

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

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

Divide each side by '-1'.
y = 2

Simplifying
y = 2