We are given the inequality:

$|y| - 6 \leq -2$

Step 1: Isolate the absolute value

Add 6 to both sides of the inequality to get:

$|y| \leq 4$

Step 2: Break down the absolute value inequality

The absolute value inequality $|y| \leq 4$ can be written as a compound inequality:

$-4 \leq y \leq 4$

Final Answer:

The solution to the inequality is:

$-4 \leq y \leq 4$

Would you like more details or explanations on any of the steps?

Here are 5 related questions:

1. How do you solve inequalities involving absolute values?
2. What if the inequality was $|y| - 6 \geq -2$?
3. How do we handle strict inequalities with absolute values?
4. What happens if there is a negative sign inside the absolute value?
5. How would you graph $-4 \leq y \leq 4$?

Tip: Always check if you need to reverse the inequality sign when multiplying or dividing by negative numbers.