Simplify (-5y^4-2)+(-5+7y^2+8y^4)+(2-9y^4)

$(- 5 y^{4} - 2) + (- 5 + 7 y^{2} + 8 y^{4}) + (2 - 9 y^{4})$

Step 1

Remove parentheses.

$- 5 y^{4} - 2 - 5 + 7 y^{2} + 8 y^{4} + 2 - 9 y^{4}$

Step 2

Combine the opposite terms in $- 5 y^{4} - 2 - 5 + 7 y^{2} + 8 y^{4} + 2 - 9 y^{4}$ .

Add $- 2$ and $2$ .

$- 5 y^{4} - 5 + 7 y^{2} + 8 y^{4} + 0 - 9 y^{4}$

Add $- 5 y^{4} - 5 + 7 y^{2} + 8 y^{4}$ and $0$ .

$- 5 y^{4} - 5 + 7 y^{2} + 8 y^{4} - 9 y^{4}$

Step 3

Add $- 5 y^{4}$ and $8 y^{4}$ .

$3 y^{4} - 5 + 7 y^{2} - 9 y^{4}$

Step 4

Subtract $9 y^{4}$ from $3 y^{4}$ .

$- 6 y^{4} - 5 + 7 y^{2}$

Step 5

Move $- 5$ .

$- 6 y^{4} + 7 y^{2} - 5$