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