Question

Which equation is equivalent to y-6=-12(x+4)

Answer 1

The equations is equivalent to y = -12x - 42

Answer 2

We can simplify equation to find equivalent.
y-6=-12(x+4) (now just multiplying factor -12 by each argument in the parenthesis.
y-6=-12x-48 /+6 add both side
y=-12x-42
Every form above is equivalent to given equation but the last is the simplest.