$$f_{1}=5x+3y+i^{5}$$
$x=\frac{-i+f_{1}-3y}{5}$
$$f_{1}=5x+3y+i$$
$$5x+3y+i=f_{1}$$
$$5x+i=f_{1}-3y$$
$$5x=f_{1}-3y-i$$
$$5x=-i+f_{1}-3y$$
$$\frac{5x}{5}=\frac{-i+f_{1}-3y}{5}$$
$$x=\frac{-i+f_{1}-3y}{5}$$
$$x=\frac{f_{1}}{5}-\frac{3y}{5}-\frac{1}{5}i$$
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$f_{1}=5x+3y+i$
