x^2-1=y^2-1

Solution for x^2-1=y^2-1 equation:

Simplifying
x2 + -1 = y2 + -1

Reorder the terms:
-1 + x2 = y2 + -1

Reorder the terms:
-1 + x2 = -1 + y2

Add '1' to each side of the equation.
-1 + 1 + x2 = -1 + 1 + y2

Combine like terms: -1 + 1 = 0
0 + x2 = -1 + 1 + y2
x2 = -1 + 1 + y2

Combine like terms: -1 + 1 = 0
x2 = 0 + y2
x2 = y2

Solving
x2 = y2

Solving for variable 'x'.

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

Simplifying
x2 = y2

Take the square root of each side:
x = {-1y, y}