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-\frac{1}{2}\times \frac{8}{3}=y
Multiply both sides by \frac{8}{3}, the reciprocal of \frac{3}{8}.
\frac{-8}{2\times 3}=y
Multiply -\frac{1}{2} times \frac{8}{3} by multiplying numerator times numerator and denominator times denominator.
\frac{-8}{6}=y
Do the multiplications in the fraction \frac{-8}{2\times 3}.
-\frac{4}{3}=y
Reduce the fraction \frac{-8}{6} to lowest terms by extracting and canceling out 2.
y=-\frac{4}{3}
Swap sides so that all variable terms are on the left hand side.