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7\sqrt{2}x=y
Swap sides so that all variable terms are on the left hand side.
\frac{7\sqrt{2}x}{7\sqrt{2}}=\frac{y}{7\sqrt{2}}
Divide both sides by 7\sqrt{2}.
x=\frac{y}{7\sqrt{2}}
Dividing by 7\sqrt{2} undoes the multiplication by 7\sqrt{2}.
x=\frac{\sqrt{2}y}{14}
Divide y by 7\sqrt{2}.