y-(-2)=-3(x-(-6))

Solution for y-(-2)=-3(x-(-6)) equation:

Simplifying
y + -1(-2) = -3(x + -1(-6))

Multiply -1 * -2
y + 2 = -3(x + -1(-6))

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

Multiply -1 * -6
2 + y = -3(x + 6)

Reorder the terms:
2 + y = -3(6 + x)
2 + y = (6 * -3 + x * -3)
2 + y = (-18 + -3x)

Solving
2 + y = -18 + -3x

Solving for variable 'y'.

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

Add '-2' to each side of the equation.
2 + -2 + y = -18 + -2 + -3x

Combine like terms: 2 + -2 = 0
0 + y = -18 + -2 + -3x
y = -18 + -2 + -3x

Combine like terms: -18 + -2 = -20
y = -20 + -3x

Simplifying
y = -20 + -3x