$$6y-3y^{2}-7y+y^{2}$$
$-y\left(2y+1\right)$
$$-y-3y^{2}+y^{2}$$
$$-y-2y^{2}$$
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$$y\left(-1-2y\right)$$
$$-2y-1$$
$$y\left(-2y-1\right)$$