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