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.

Learn how to solve the inequality Y - 3 >= -6 step by step. This tutorial covers algebraic concepts such as inequalities, how to manipulate them, and the rules for solving linear inequalities. Suitable for students in Grades 6-8.

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