y-1=-(x-3)

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

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

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

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

Solving
-1 + y = 3 + -1x

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 + -1x

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

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

Simplifying
y = 4 + -1x