$$(y-\frac{1}{2})(2y-\frac{2}{5})$$
$2y^{2}-\frac{7y}{5}+\frac{1}{5}$
$$2y^{2}+y\left(-\frac{2}{5}\right)-\frac{1}{2}\times 2y-\frac{1}{2}\left(-\frac{2}{5}\right)$$
$$2y^{2}+y\left(-\frac{2}{5}\right)-y-\frac{1}{2}\left(-\frac{2}{5}\right)$$
$$2y^{2}-\frac{7}{5}y-\frac{1}{2}\left(-\frac{2}{5}\right)$$
$$2y^{2}-\frac{7}{5}y+\frac{-\left(-2\right)}{2\times 5}$$
$$2y^{2}-\frac{7}{5}y+\frac{2}{10}$$
$$2y^{2}-\frac{7}{5}y+\frac{1}{5}$$
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