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\sqrt{5}x=3-6y
Subtract 6y from both sides.
\frac{\sqrt{5}x}{\sqrt{5}}=\frac{3-6y}{\sqrt{5}}
Divide both sides by \sqrt{5}.
x=\frac{3-6y}{\sqrt{5}}
Dividing by \sqrt{5} undoes the multiplication by \sqrt{5}.
x=\frac{3\sqrt{5}\left(1-2y\right)}{5}
Divide 3-6y by \sqrt{5}.
6y=3-\sqrt{5}x
Subtract \sqrt{5}x from both sides.
6y=-\sqrt{5}x+3
Reorder the terms.
\frac{6y}{6}=\frac{-\sqrt{5}x+3}{6}
Divide both sides by 6.
y=\frac{-\sqrt{5}x+3}{6}
Dividing by 6 undoes the multiplication by 6.
y=-\frac{\sqrt{5}x}{6}+\frac{1}{2}
Divide -\sqrt{5}x+3 by 6.