y-(x-y)=5

Solution for y-(x-y)=5 equation:

Simplifying
y + -1(x + -1y) = 5
y + (x * -1 + -1y * -1) = 5
y + (-1x + 1y) = 5

Reorder the terms:
-1x + y + 1y = 5

Combine like terms: y + 1y = 2y
-1x + 2y = 5

Solving
-1x + 2y = 5

Solving for variable 'x'.

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

Add '-2y' to each side of the equation.
-1x + 2y + -2y = 5 + -2y

Combine like terms: 2y + -2y = 0
-1x + 0 = 5 + -2y
-1x = 5 + -2y

Divide each side by '-1'.
x = -5 + 2y

Simplifying
x = -5 + 2y