To solve the equation \( x - 8y = 17 \) for \( y \), follow these steps:

1. **Isolate the term containing \( y \)**:  
   Subtract \( x \) from both sides of the equation:
   \[
   -8y = 17 - x
   \]

2. **Solve for \( y \)**:  
   Divide both sides of the equation by \(-8\):
   \[
   y = \frac{17 - x}{-8}
   \]

3. **Simplify the expression** (if desired):  
   \[
   y = \frac{x - 17}{8}
   \]

So, the solution for \( y \) is:
\[
y = \frac{x - 17}{8}
\]

Would you like more details on this solution or have any other questions?

Here are five related questions to consider:
1. How do you solve for \( x \) in the equation \( x - 8y = 17 \)?
2. What would the equation look like if you had to solve for \( x \) instead?
3. How does the solution change if the equation was \( x + 8y = 17 \)?
4. What are the implications of having a negative coefficient in front of \( y \) during the solution process?
5. How can you graph the equation \( x - 8y = 17 \) once you solve for \( y \)?

**Tip:** When solving for a variable, always remember to perform the same operation on both sides of the equation to maintain equality.

Learn how to solve the linear equation x - 8y = 17 for y with a detailed step-by-step solution. This problem covers key algebraic concepts, including equation solving and linear equations. Suitable for students in Grades 7-9.

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