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\sqrt[e]{\pi }x+e=y
Swap sides so that all variable terms are on the left hand side.
\sqrt[e]{\pi }x=y-e
Subtract e from both sides.
\frac{\sqrt[e]{\pi }x}{\sqrt[e]{\pi }}=\frac{y-e}{\sqrt[e]{\pi }}
Divide both sides by \sqrt[e]{\pi }.
x=\frac{y-e}{\sqrt[e]{\pi }}
Dividing by \sqrt[e]{\pi } undoes the multiplication by \sqrt[e]{\pi }.
x=\pi ^{-\frac{1}{e}}\left(y-e\right)
Divide y-e by \sqrt[e]{\pi }.