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Solve for g
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\frac{1}{2}mv^{2}+mgh=E
Swap sides so that all variable terms are on the left hand side.
mgh=E-\frac{1}{2}mv^{2}
Subtract \frac{1}{2}mv^{2} from both sides.
hmg=-\frac{mv^{2}}{2}+E
The equation is in standard form.
\frac{hmg}{hm}=\frac{-\frac{mv^{2}}{2}+E}{hm}
Divide both sides by mh.
g=\frac{-\frac{mv^{2}}{2}+E}{hm}
Dividing by mh undoes the multiplication by mh.