The given equation is expressed as
y + 2 = - 4(x + 4)
We would open the bracket by multiplying the terms inside the bracket by the term outside the bracket. It becomes
y + 2 = - 4x - 16
Rewriting it in the form, Ax + By = C, it becomes
- 4x - y = 2 + 16
- 4x - y = 18
A = - 4
B = - 1
C = 18