Core stretch Given $p=\sqrt{\dfrac{4y}{7y-2}}$, express $y$ in terms of $p$. Assume $p\ge0$

Question

Core stretch Given $p=\sqrt{\dfrac{4y}{7y-2}}$, express $y$ in terms of $p$. Assume $p\ge0$ and $7p^2\ne4$.

Accepted Answer

$y=\dfrac{2p^2}{7p^2-4}$

Rearranging formulae with square roots