https://file.aiquickdraw.com/mathbot/file/1726628818139ropygz0p.jpg

Let's solve the equation:

\[
5y - 13 = 22
\]

### Step-by-Step Solution:
1. **Add 13** to both sides of the equation to isolate the term with \(y\):
   \[
   5y - 13 + 13 = 22 + 13
   \]
   This simplifies to:
   \[
   5y = 35
   \]

2. **Divide** both sides by 5 to solve for \(y\):
   \[
   y = \frac{35}{5} = 7
   \]

Thus, the solution is \(y = 7\).

The answer you have selected, \(y = 7\), is correct!

Would you like more details, or do you have any questions?

### Related Questions:
1. How would you solve \(3y - 8 = 10\)?
2. What happens if you subtract 13 from both sides instead of adding it in the equation \(5y - 13 = 22\)?
3. How do you solve \(7x + 12 = 40\) for \(x\)?
4. Can you explain how to solve inequalities like \(4y - 5 \geq 11\)?
5. What is the difference between solving an equation and solving an inequality?

### Tip:
Always reverse the operation to isolate the variable step by step (addition becomes subtraction, and multiplication becomes division).

Solve for y in the equation 5y - 13 = 22.

Learn how to solve the linear equation 5y - 13 = 22. This problem involves basic algebraic steps such as isolating the variable and dividing by the coefficient. A suitable math problem for students in Grades 6-8.

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