Can someone please explain to me the simplification done on this problem?? I\'m

Question

Can someone please explain to me the simplification done on this problem?? I'm not sure how they got the 4gr mostly but I need the steps on how to get from the begining to the end of simplfying

A toy racecar track has a spring launcher, and a loop-the-loop. The spring is ideal, initially compressed a distance d, with spring constant k, the car has mass m, and the circular loop has radius R. Assume that the car stays on the track at all times, and find the speed of the car at the top of the loop in terms of k, m, R. d. and g. Assuming all surface are initial smooth

Explanation / Answer

The general form of the gravitational potential energy of mass m is: U = -GmM/r

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