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y\sqrt{2}=x
Swap sides so that all variable terms are on the left hand side.
\sqrt{2}y=x
The equation is in standard form.
\frac{\sqrt{2}y}{\sqrt{2}}=\frac{x}{\sqrt{2}}
Divide both sides by \sqrt{2}.
y=\frac{x}{\sqrt{2}}
Dividing by \sqrt{2} undoes the multiplication by \sqrt{2}.
y=\frac{\sqrt{2}x}{2}
Divide x by \sqrt{2}.