\(y\left(2x+1\right)=x+7\)
\(\Rightarrow2xy+y=x+7\)
\(\Rightarrow2xy+y-x-7=0\)
\(\Rightarrow4xy+2y-2x-7=0\)
\(\Rightarrow4xy+2y-2x-1-6=0\)
\(\Rightarrow2y\left(2x+1\right)-1\left(2x+1\right)-6=0\)
\(\Rightarrow\left(2y-1\right)\left(2x+1\right)-6=0\)
\(\Rightarrow\left(2y-1\right)\left(2x+1\right)=6\)
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