$$8x+ { 6 }^{ 2 } =83+7y \times { 3 }^{ 2 }$$
$x=\frac{63y+47}{8}$
$$8x+36=83+7y\times 3^{2}$$
$$8x+36=83+7y\times 9$$
$$8x+36=83+63y$$
$$8x=83+63y-36$$
$$8x=47+63y$$
$$8x=63y+47$$
$$\frac{8x}{8}=\frac{63y+47}{8}$$
$$x=\frac{63y+47}{8}$$
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$y=\frac{8x-47}{63}$
$$83+63y=8x+36$$
$$63y=8x+36-83$$
$$63y=8x-47$$
$$\frac{63y}{63}=\frac{8x-47}{63}$$
$$y=\frac{8x-47}{63}$$
