Answer
$$3x^3+x^2y-3y^3-y. $$
Work Step by Step
We simplify by distributing the negative and combining like terms:
$$ \left(x^{3}+2 x^{2} y\right)-\left(3 y^{3}-2 x^{3}+x^{2} y+y\right)=x^3+2x^2y-3y^3+2x^3-x^2y-y\\ =3x^3+x^2y-3y^3-y. $$
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