Write in Standard Form y=(-3x^3)-3(3-x^3)

$y = (- 3 x^{3}) - 3 (3 - x^{3})$

The standard form of a linear equation is $A x + B y = C$ .

Simplify the right side.

Simplify $(- 3 x^{3}) - 3 (3 - x^{3})$ .

Simplify each term.

Apply the distributive property.

$y = - 3 x^{3} - 3 \cdot 3 - 3 (- x^{3})$

Multiply $- 3$ by $3$ .

$y = - 3 x^{3} - 9 - 3 (- x^{3})$

Multiply $- 1$ by $- 3$ .

$y = - 3 x^{3} - 9 + 3 x^{3}$

Combine the opposite terms in $- 3 x^{3} - 9 + 3 x^{3}$ .

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

$y = 0 - 9$

Subtract $9$ from $0$ .

$y = - 9$