We want to solve the equation:

\[
5y - 13 = y + 5
\]

### Step 1: Move all terms with \( y \) to one side
Subtract \( y \) from both sides:

\[
5y - y - 13 = 5
\]

This simplifies to:

\[
4y - 13 = 5
\]

### Step 2: Move constant terms to the other side
Add 13 to both sides:

\[
4y = 18
\]

### Step 3: Solve for \( y \)
Divide both sides by 4:

\[
y = \frac{18}{4} = 4.5
\]

So, the solution is:

\[
y = 4.5
\]

Would you like more details or have any questions?

Here are some related questions for further practice:
1. Solve \( 7x - 10 = 3x + 6 \).
2. Solve \( 2y + 9 = 5y - 12 \).
3. Solve \( 8z - 7 = 3z + 18 \).
4. Solve \( 4a - 6 = a + 10 \).
5. Solve \( 6b - 5 = 2b + 15 \).

**Tip:** Always combine like terms and move variables to one side for easier solving.

Learn how to solve the linear equation 5y - 13 = y + 5 step-by-step. This solution explains key algebraic concepts such as moving terms, combining like terms, and isolating the variable. Ideal for students in Grades 6-8.

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