y-3=-1(x+1)

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

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

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

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

Solving
-3 + y = -1 + -1x

Solving for variable 'y'.

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

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

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

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

Simplifying
y = 2 + -1x