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9c=2x+4y
Swap sides so that all variable terms are on the left hand side.
\frac{9c}{9}=\frac{2x+4y}{9}
Divide both sides by 9.
c=\frac{2x+4y}{9}
Dividing by 9 undoes the multiplication by 9.
2x=9c-4y
Subtract 4y from both sides.
\frac{2x}{2}=\frac{9c-4y}{2}
Divide both sides by 2.
x=\frac{9c-4y}{2}
Dividing by 2 undoes the multiplication by 2.
x=\frac{9c}{2}-2y
Divide 9c-4y by 2.