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The image contains a math problem asking to solve the equation \( 9 - y = 17x \) for \( y \).

Here's the step-by-step solution:

1. Start with the given equation:
   \[
   9 - y = 17x
   \]
   
2. Subtract 9 from both sides to isolate the term with \( y \):
   \[
   -y = 17x - 9
   \]

3. Multiply both sides of the equation by \(-1\) to solve for \( y \):
   \[
   y = -(17x - 9)
   \]

4. Simplify the equation:
   \[
   y = -17x + 9
   \]

Thus, the solution for \( y \) is:
\[
y = -17x + 9
\]

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

Here are 5 related questions for further practice:
1. How would you solve \( y + 8 = 3x \) for \( y \)?
2. What happens to the equation when you swap the signs on both sides?
3. How can this equation be graphed on a coordinate plane?
4. If \( x = 2 \), what is the value of \( y \) in the equation \( y = -17x + 9 \)?
5. How do you convert an equation like this into slope-intercept form?

**Tip:** Always aim to isolate the variable you are solving for by performing the inverse operations step by step.

Learn how to solve the linear equation 9 - y = 17x step by step. This problem covers key algebraic concepts such as solving for variables in a linear equation and applying inverse operations. Suitable for students in Grades 7-9.

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