=[(x+1)-(y-3)]

Solution for =[(x+1)-(y-3)] equation:

Simplifying
0 = [(x + 1) + -1(y + -3)]

Reorder the terms:
0 = [(1 + x) + -1(y + -3)]

Remove parenthesis around (1 + x)
0 = [1 + x + -1(y + -3)]

Reorder the terms:
0 = [1 + x + -1(-3 + y)]
0 = [1 + x + (-3 * -1 + y * -1)]
0 = [1 + x + (3 + -1y)]

Reorder the terms:
0 = [1 + 3 + x + -1y]

Combine like terms: 1 + 3 = 4
0 = [4 + x + -1y]

Remove brackets around [4 + x + -1y]
0 = 4 + x + -1y

Solving
0 = 4 + x + -1y

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
0 + -1x = 4 + x + -1x + -1y
Remove the zero:
-1x = 4 + x + -1x + -1y

Combine like terms: x + -1x = 0
-1x = 4 + 0 + -1y
-1x = 4 + -1y

Divide each side by '-1'.
x = -4 + y

Simplifying
x = -4 + y