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The equation to solve is:

\[
\frac{y + 1}{2} = 8
\]

### Solution:

1. Multiply both sides of the equation by 2 to eliminate the denominator:
   \[
   y + 1 = 8 \times 2
   \]
   \[
   y + 1 = 16
   \]

2. Subtract 1 from both sides to solve for \(y\):
   \[
   y = 16 - 1
   \]
   \[
   y = 15
   \]

Thus, the solution is \( y = 15 \).

Do you want more details or have any other questions? Here are 5 related questions:

1. How do you solve linear equations with variables on both sides?
2. What happens if there are more terms in the numerator of a fraction like this?
3. Can you solve a similar equation involving subtraction instead of addition?
4. What changes if the equation includes a negative coefficient in front of the variable?
5. How would you check if a solution to an equation is correct?

**Tip:** Always double-check your solutions by substituting the value back into the original equation.

Learn how to solve the linear equation (y + 1) / 2 = 8 with a detailed step-by-step solution. This problem focuses on fundamental algebraic operations and solving for the variable y. Suitable for students in Grades 6-8.

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