$$4 y ( 2 y ^ { 2 } - 3 y + 1 ) y ( - y ^ { 2 } + 12 )$$
$4\left(y-1\right)\left(2y-1\right)y^{2}\left(12-y^{2}\right)$
$$4y^{2}\left(2y^{2}-3y+1\right)\left(-y^{2}+12\right)$$
$$\left(8y^{4}-12y^{3}+4y^{2}\right)\left(-y^{2}+12\right)$$
$$8y^{4}\left(-y^{2}\right)+96y^{4}-12y^{3}\left(-y^{2}\right)-144y^{3}+4y^{2}\left(-y^{2}\right)+48y^{2}$$
$$8y^{4}\left(-y^{2}\right)+96y^{4}+12y^{3}y^{2}-144y^{3}+4y^{2}\left(-y^{2}\right)+48y^{2}$$
$$8y^{4}\left(-y^{2}\right)+96y^{4}+12y^{5}-144y^{3}+4y^{2}\left(-y^{2}\right)+48y^{2}$$
$$-8y^{4}y^{2}+96y^{4}+12y^{5}-144y^{3}+4y^{2}\left(-1\right)y^{2}+48y^{2}$$
$$-8y^{6}+96y^{4}+12y^{5}-144y^{3}+4y^{2}\left(-1\right)y^{2}+48y^{2}$$
$$-8y^{6}+96y^{4}+12y^{5}-144y^{3}+4y^{4}\left(-1\right)+48y^{2}$$
$$-8y^{6}+96y^{4}+12y^{5}-144y^{3}-4y^{4}+48y^{2}$$
$$-8y^{6}+92y^{4}+12y^{5}-144y^{3}+48y^{2}$$
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$48y^{2}-144y^{3}+92y^{4}+12y^{5}-8y^{6}$