Hello Jared,
-3x+y = -4
To solve for y means to isolate the y on one side of the equal sign all by itself.
Add 3x to both sides
-3x + y + 3x = -4 + 3x
The 3x's on the left side will cancel one another
-3x + y + 3x = -4 + 3x
And you'll be left with
y = -4 + 3x or
y = 3x - 4