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7x=1+2y
Add 2y to both sides.
7x=2y+1
The equation is in standard form.
\frac{7x}{7}=\frac{2y+1}{7}
Divide both sides by 7.
x=\frac{2y+1}{7}
Dividing by 7 undoes the multiplication by 7.
-2y=1-7x
Subtract 7x from both sides.
\frac{-2y}{-2}=\frac{1-7x}{-2}
Divide both sides by -2.
y=\frac{1-7x}{-2}
Dividing by -2 undoes the multiplication by -2.
y=\frac{7x-1}{2}
Divide 1-7x by -2.