What is the equation of the line that is parallel to the line y − 1 = 4(x + 3) and passes through the point (4, 32)?

Easy! simplify the given equation first, y=4x + 13
Equations of parallel lines have the same gradient but different y-intercepts, so in this equation it's only the value of 13 that is going to change and we are going to replace it with a c.

in general, y = mc +c where m is the slope
substitute the given coordinate in the equation correctly.
32 = 4(4) + c
32 - 16 =16
16 = c
hence y = 4x + 16