$$(-y+2)(3y-2)$$
$\left(2-y\right)\left(3y-2\right)$
$$3\left(-y\right)y-2\left(-y\right)+6y-4$$
$$3\left(-y\right)y+2y+6y-4$$
$$3\left(-y\right)y+8y-4$$
$$-3yy+8y-4$$
$$-3y^{2}+8y-4$$
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$-3y^{2}+8y-4$