Simplify y^3-2y^3+3y^3-2x^3+5x+3x-7x^3

$y^{3} - 2 y^{3} + 3 y^{3} - 2 x^{3} + 5 x + 3 x - 7 x^{3}$

Subtract $2 y^{3}$ from $y^{3}$ .

$- y^{3} + 3 y^{3} - 2 x^{3} + 5 x + 3 x - 7 x^{3}$

Add $- y^{3}$ and $3 y^{3}$ .

$2 y^{3} - 2 x^{3} + 5 x + 3 x - 7 x^{3}$

Subtract $7 x^{3}$ from $- 2 x^{3}$ .

$2 y^{3} - 9 x^{3} + 5 x + 3 x$

Add $5 x$ and $3 x$ .

$2 y^{3} - 9 x^{3} + 8 x$

Reorder $2 y^{3}$ and $- 9 x^{3}$ .

$- 9 x^{3} + 2 y^{3} + 8 x$