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\frac{-3x}{7}-3=y
Swap sides so that all variable terms are on the left hand side.
\frac{-3x}{7}=y+3
Add 3 to both sides.
-3x=7y+21
Multiply both sides of the equation by 7.
\frac{-3x}{-3}=\frac{7y+21}{-3}
Divide both sides by -3.
x=\frac{7y+21}{-3}
Dividing by -3 undoes the multiplication by -3.
x=-\frac{7y}{3}-7
Divide 21+7y by -3.