Simplify -y^2+4x^2-y-7y^2+3y^2-4x^2-2x^2

$- y^{2} + 4 x^{2} - y - 7 y^{2} + 3 y^{2} - 4 x^{2} - 2 x^{2}$

Combine the opposite terms in $- y^{2} + 4 x^{2} - y - 7 y^{2} + 3 y^{2} - 4 x^{2} - 2 x^{2}$ .

Subtract $4 x^{2}$ from $4 x^{2}$ .

$- y^{2} - y - 7 y^{2} + 3 y^{2} + 0 - 2 x^{2}$

Add $- y^{2} - y - 7 y^{2} + 3 y^{2}$ and $0$ .

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

Subtract $7 y^{2}$ from $- y^{2}$ .

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

Add $- 8 y^{2}$ and $3 y^{2}$ .

$- 5 y^{2} - y - 2 x^{2}$

Simplify the expression.

Move $- y$ .

$- 5 y^{2} - 2 x^{2} - y$

Reorder $- 5 y^{2}$ and $- 2 x^{2}$ .

$- 2 x^{2} - 5 y^{2} - y$