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\sigma x+py=2p\sigma
Multiply both sides of the equation by p\sigma , the least common multiple of p,\sigma .
\sigma x=2p\sigma -py
Subtract py from both sides.
\frac{\sigma x}{\sigma }=\frac{p\left(2\sigma -y\right)}{\sigma }
Divide both sides by \sigma .
x=\frac{p\left(2\sigma -y\right)}{\sigma }
Dividing by \sigma undoes the multiplication by \sigma .