Solve for y.
|y|–6≤
–
2
Write a compound inequality like 1 < x < 3 or like x < 1 or x > 3. Use integers, proper fractions, or improper fractions in simplest form.

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.

Solve for y. |y| – 6 ≤ –2. Write a compound inequality like 1 < x < 3 or like x < 1 or x > 3. Use integers, proper fractions, or improper fractions in simplest form.

Learn how to solve the absolute value inequality |y| - 6 ≤ -2. This step-by-step solution includes isolating the absolute value, converting the inequality into a compound form, and providing a clear explanation. Suitable for students in Grades 7-10.

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