Prime division proof

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Prove $x=y$ while $x$ and $y$ are positive integers and $1+x+y$ is a prime divisor of $-1 + 4(x*y)$.

This is a homework, but I don't want a full solution - just some tips to get started.

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Let $p=1+x+y$, and rewrite $-1+4xy$ in terms of $x$ and $p$.