(a+b)-(a-b)=b

Solution for (a+b)-(a-b)=b equation:

Simplifying
(a + b) + -1(a + -1b) = b

Remove parenthesis around (a + b)
a + b + -1(a + -1b) = b
a + b + (a * -1 + -1b * -1) = b
a + b + (-1a + 1b) = b

Reorder the terms:
a + -1a + b + 1b = b

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

Combine like terms: b + 1b = 2b
2b = b

Solving
2b = b

Solving for variable 'b'.

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

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

Combine like terms: 2b + -1b = 1b
1b = b + -1b

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

Divide each side by '1'.
b = 0

Simplifying
b = 0