To solve the equation:

\[
-6y - 31 = 5
\]

### Step 1: Add 31 to both sides to isolate the term with \( y \):

\[
-6y - 31 + 31 = 5 + 31
\]

This simplifies to:

\[
-6y = 36
\]

### Step 2: Divide both sides by \(-6\) to solve for \( y \):

\[
y = \frac{36}{-6}
\]

This simplifies to:

\[
y = -6
\]

So, the solution is \( y = -6 \).

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

---

Here are five related questions for further practice:

1. Solve: \( 7x + 20 = 2x + 35 \)
2. Solve: \( -5y - 20 = 15 \)
3. Solve: \( 4z - 18 = 10 \)
4. Solve: \( -9w + 12 = 3 \)
5. Solve: \( 3a + 14 = 29 \)

**Tip:** Always perform the same operation on both sides of an equation to keep it balanced.

Learn how to solve the linear equation -6y - 31 = 5 with a detailed, step-by-step explanation. This problem focuses on algebraic concepts such as isolating the variable and applying properties of equality. Suitable for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation