Let's simplify the expression $-6(-3v^3 - 2 + y^2)$.

Step 1: Distribute the $-6$ across the terms inside the parentheses.

$-6(-3v^3 - 2 + y^2) = -6 \cdot (-3v^3) - 6 \cdot (-2) - 6 \cdot (y^2)$

Step 2: Multiply each term.

$= 18v^3 + 12 - 6y^2$

So, the simplified expression is: $18v^3 + 12 - 6y^2$

Would you like more details on any of these steps or have any questions?

Here are five related questions:

1. How would you factor the expression $18v^3 + 12 - 6y^2$?
2. What happens if you substitute specific values for $v$ and $y$ in the expression $18v^3 + 12 - 6y^2$?
3. Can you simplify the expression if we only distribute part of the $-6$?
4. What if the expression was $+6(-3v^3 - 2 + y^2)$ instead of $-6$?
5. How would the expression change if $y^2$ was replaced with a different variable?

Tip: Always distribute the sign carefully when simplifying expressions, as it can significantly change the result.