Let's solve the equation step by step:

Given equation:
\[
3y = 13 - 2y
\]

### Step 1: Combine like terms
Add \(2y\) to both sides to get all the \(y\) terms on one side:
\[
3y + 2y = 13
\]
\[
5y = 13
\]

### Step 2: Solve for \(y\)
Divide both sides by 5:
\[
y = \frac{13}{5}
\]
\[
y = 2.6
\]

So, the value of \(y\) is \(2.6\).

Would you like more details on this? Here are some related questions you might find helpful:

1. How do you solve linear equations with variables on both sides?
2. What are the steps to isolate the variable in an equation?
3. How do you handle fractions when solving equations?
4. What are common mistakes to avoid when solving linear equations?
5. How do you check if your solution to an equation is correct?

**Tip:** Always remember to perform the same operation on both sides of the equation to maintain equality.

Learn how to solve the linear equation 3y = 13 - 2y step by step with detailed explanations and calculations. This problem involves basic operations on equations and is suitable for students in Grades 6-8.

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