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-7y=6-3y
Multiply both sides of the equation by 3.
-7y+3y=6
Add 3y to both sides.
-4y=6
Combine -7y and 3y to get -4y.
y=\frac{6}{-4}
Divide both sides by -4.
y=-\frac{3}{2}
Reduce the fraction \frac{6}{-4} to lowest terms by extracting and canceling out 2.