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By multiplying both sides with $4$ we get,
$$
\frac{-15}{2x-1}+\frac{-15}{2y-1}+2x+1+2y+1=4x+4y
$$Let $(m,n)=(2x-1,2y-1)$ and note that $mn$ is not $0$.
Valentine Equation
Determine all the integers solutions $(x,y)$ of the following equation
$$\frac{x^2-4}{2x-1}+\frac{y^2-4}{2y-1}=x+y$$
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