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6x-9=y
Swap sides so that all variable terms are on the left hand side.
6x=y+9
Add 9 to both sides.
\frac{6x}{6}=\frac{y+9}{6}
Divide both sides by 6.
x=\frac{y+9}{6}
Dividing by 6 undoes the multiplication by 6.
x=\frac{y}{6}+\frac{3}{2}
Divide y+9 by 6.