Solve for g
\left\{\begin{matrix}g=\frac{by}{k}\text{, }&k\neq 0\text{ and }y\neq 0\\g\in \mathrm{R}\text{, }&b=0\text{ and }k=0\text{ and }y\neq 0\end{matrix}\right.
Solve for b
b=\frac{gk}{y}
y\neq 0
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by=gk
Multiply both sides of the equation by y.
gk=by
Swap sides so that all variable terms are on the left hand side.
kg=by
The equation is in standard form.
\frac{kg}{k}=\frac{by}{k}
Divide both sides by k.
g=\frac{by}{k}
Dividing by k undoes the multiplication by k.
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