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6x=7y
The equation is in standard form.
\frac{6x}{6}=\frac{7y}{6}
Divide both sides by 6.
x=\frac{7y}{6}
Dividing by 6 undoes the multiplication by 6.
7y=6x
Swap sides so that all variable terms are on the left hand side.
\frac{7y}{7}=\frac{6x}{7}
Divide both sides by 7.
y=\frac{6x}{7}
Dividing by 7 undoes the multiplication by 7.