You want to solve for x here.
When finding the inverse of a function, you might get this form of the equation:
f(x) = -12x + 7
And you would have to change the f(x) into a (y). However, this equation already has y in place of f(x), so you can just get started!
To find the inverse you want to solve for x, and, thus, you must ISOLATE x from every other term and variable.
1) (subtract 7 from each side)
y - 7 = -12x
2) (divide -12 from each side)
(y/-12) + (7/12) = x
Now that x is now isolated, you have your answer. Your teacher, however, might want you to change the (y)s in your answer to (x)s.
So the inverse of y = -12x + 7 is
(y/-12) + (7/12)
OR (if your teacher wants you to change your (y)s to (x)s in your inverse solution (which they probably do)):
The inverse of y = -12x + 7 is
(x/-12) + (7/12)
