Solve for v
v=\frac{y-1}{2}
Solve for y
y=2v+1
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7y+4v=9y-2
Swap sides so that all variable terms are on the left hand side.
4v=9y-2-7y
Subtract 7y from both sides.
4v=2y-2
Combine 9y and -7y to get 2y.
\frac{4v}{4}=\frac{2y-2}{4}
Divide both sides by 4.
v=\frac{2y-2}{4}
Dividing by 4 undoes the multiplication by 4.
v=\frac{y-1}{2}
Divide -2+2y by 4.
9y-2-7y=4v
Subtract 7y from both sides.
2y-2=4v
Combine 9y and -7y to get 2y.
2y=4v+2
Add 2 to both sides.
\frac{2y}{2}=\frac{4v+2}{2}
Divide both sides by 2.
y=\frac{4v+2}{2}
Dividing by 2 undoes the multiplication by 2.
y=2v+1
Divide 4v+2 by 2.
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