$$\frac { 2 x } { 5 y } \times ( \frac { 2 y } { 5 } \div \frac { y } { 3 } )$$
$\frac{12x}{25y}$
$$\frac{2x}{5y}\times \frac{2y\times 3}{5y}$$
$$\frac{2x}{5y}\times \frac{2\times 3}{5}$$
$$\frac{2x}{5y}\times \frac{6}{5}$$
$$\frac{2x\times 6}{5y\times 5}$$
$$\frac{12x}{5y\times 5}$$
$$\frac{12x}{25y}$$
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$\frac{12}{25y}$