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-\frac{3}{7}=y-\frac{9}{7}
Divide both sides by 7.
y-\frac{9}{7}=-\frac{3}{7}
Swap sides so that all variable terms are on the left hand side.
y=-\frac{3}{7}+\frac{9}{7}
Add \frac{9}{7} to both sides.
y=\frac{-3+9}{7}
Since -\frac{3}{7} and \frac{9}{7} have the same denominator, add them by adding their numerators.
y=\frac{6}{7}
Add -3 and 9 to get 6.