y-1=(x-3)

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

Simplifying
y + -1 = (x + -3)

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

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

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

Solving
-1 + y = -3 + x

Solving for variable 'y'.

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

Add '1' to each side of the equation.
-1 + 1 + y = -3 + 1 + x

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

Combine like terms: -3 + 1 = -2
y = -2 + x

Simplifying
y = -2 + x