Solve for v
v=\frac{x+6y}{4}
Solve for x
x=4v-6y
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4v=x+6y
Swap sides so that all variable terms are on the left hand side.
\frac{4v}{4}=\frac{x+6y}{4}
Divide both sides by 4.
v=\frac{x+6y}{4}
Dividing by 4 undoes the multiplication by 4.
v=\frac{x}{4}+\frac{3y}{2}
Divide x+6y by 4.
x=4v-6y
Subtract 6y from both sides.
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