y+3=-1(x+6)

Solution for y+3=-1(x+6) equation:

Simplifying
y + 3 = -1(x + 6)

Reorder the terms:
3 + y = -1(x + 6)

Reorder the terms:
3 + y = -1(6 + x)
3 + y = (6 * -1 + x * -1)
3 + y = (-6 + -1x)

Solving
3 + y = -6 + -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 = -6 + -3 + -1x

Combine like terms: 3 + -3 = 0
0 + y = -6 + -3 + -1x
y = -6 + -3 + -1x

Combine like terms: -6 + -3 = -9
y = -9 + -1x

Simplifying
y = -9 + -1x