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4\times \frac{3}{5}=y
Multiply both sides by \frac{3}{5}, the reciprocal of \frac{5}{3}.
\frac{4\times 3}{5}=y
Express 4\times \frac{3}{5} as a single fraction.
\frac{12}{5}=y
Multiply 4 and 3 to get 12.
y=\frac{12}{5}
Swap sides so that all variable terms are on the left hand side.