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\left(\sqrt{5}-2\right)y=3\sqrt{5}
The equation is in standard form.
\frac{\left(\sqrt{5}-2\right)y}{\sqrt{5}-2}=\frac{3\sqrt{5}}{\sqrt{5}-2}
Divide both sides by -2+\sqrt{5}.
y=\frac{3\sqrt{5}}{\sqrt{5}-2}
Dividing by -2+\sqrt{5} undoes the multiplication by -2+\sqrt{5}.
y=6\sqrt{5}+15
Divide 3\sqrt{5} by -2+\sqrt{5}.