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6x=3y-9
The equation is in standard form.
\frac{6x}{6}=\frac{3y-9}{6}
Divide both sides by 6.
x=\frac{3y-9}{6}
Dividing by 6 undoes the multiplication by 6.
x=\frac{y-3}{2}
Divide -9+3y by 6.