The inequality you provided is:

$y - 3 \geq -6$

To solve for $y$:

1. Add 3 to both sides of the inequality:

$y - 3 + 3 \geq -6 + 3$

2. Simplifying both sides gives:

$y \geq -3$

The solution is:

$y \geq -3$

This means that $y$ can be any number greater than or equal to $-3$.

Would you like more details or have any questions?

Here are 5 related questions:

1. How would the solution change if the inequality was $y - 3 > -6$?
2. How do you graph the solution $y \geq -3$ on a number line?
3. What happens if you multiply or divide an inequality by a negative number?
4. Can you solve the inequality $2y - 5 \leq 9$?
5. How would you solve a compound inequality, like $-4 \leq y - 2 < 5$?

Tip: When solving inequalities, reversing the inequality sign is required if you multiply or divide by a negative number.