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