y+6=-3(x+3)

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

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

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

Reorder the terms:
6 + y = -3(3 + x)
6 + y = (3 * -3 + x * -3)
6 + y = (-9 + -3x)

Solving
6 + y = -9 + -3x

Solving for variable 'y'.

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

Add '-6' to each side of the equation.
6 + -6 + y = -9 + -6 + -3x

Combine like terms: 6 + -6 = 0
0 + y = -9 + -6 + -3x
y = -9 + -6 + -3x

Combine like terms: -9 + -6 = -15
y = -15 + -3x

Simplifying
y = -15 + -3x