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