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-6\times \frac{5}{3}=y
Multiply both sides by \frac{5}{3}, the reciprocal of \frac{3}{5}.
\frac{-6\times 5}{3}=y
Express -6\times \frac{5}{3} as a single fraction.
\frac{-30}{3}=y
Multiply -6 and 5 to get -30.
-10=y
Divide -30 by 3 to get -10.
y=-10
Swap sides so that all variable terms are on the left hand side.