$$xy+xy+(2y)x(2x)(2y)(yy)(xx)(2x)+(2xy)2y+2x$$
$2x\left(8x^{4}y^{4}+2y^{2}+y+1\right)$
$$x\left(y+y+16y^{4}x^{4}+4y^{2}+2\right)$$
$$16x^{4}y^{4}+4y^{2}+2y+2$$
$$2\left(8x^{4}y^{4}+2y^{2}+y+1\right)$$
$$2x\left(8x^{4}y^{4}+2y^{2}+y+1\right)$$
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$2x\left(2y^{2}+y+8\left(xy\right)^{4}+1\right)$