To solve for expressions that are equivalent to $-3(-3y - 1)$, let's simplify this expression step-by-step:

Step 1: Apply the distributive property

We distribute the $-3$ to each term inside the parentheses:

$-3(-3y - 1) = (-3) \cdot (-3y) + (-3) \cdot (-1)$

Step 2: Multiply the terms

• $(-3) \cdot (-3y) = 9y$
• $(-3) \cdot (-1) = 3$

So, the simplified expression is:

$9y + 3$

Conclusion:

The expression $-3(-3y - 1)$ simplifies to $9y + 3$. Therefore, any expression equivalent to $9y + 3$ would also be equivalent to the original expression.

Let me know if you have a list of options to select from or if you'd like further clarification!

Related Questions:

1. What is the distributive property in algebra?
2. How do you simplify expressions with negative numbers?
3. How can you check if two expressions are equivalent?
4. How do you factor expressions like $9y + 3$?
5. How would the expression change if it was $3(-3y - 1)$ instead?

Tip:

Always remember to multiply both terms inside the parentheses when using the distributive property.