To solve the equation \( 8x - 2y = 18 \) for \( y \), follow these steps:

1. **Isolate the term with \( y \):**

   \[
   -2y = 18 - 8x
   \]

2. **Divide both sides by \(-2\) to solve for \( y \):**

   \[
   y = \frac{18 - 8x}{-2}
   \]

3. **Simplify the equation:**

   \[
   y = \frac{18}{-2} - \frac{8x}{-2}
   \]

   \[
   y = -9 + 4x
   \]

So, the solution is:

\[
y = 4x - 9
\]

Do you want more details or have any questions about the solution?

Here are 5 related questions you might find interesting:

1. How would the solution change if the equation were \( 8x + 2y = 18 \)?
2. What is the slope and y-intercept of the equation \( y = 4x - 9 \)?
3. How would you graph the equation \( y = 4x - 9 \)?
4. Can you solve the equation for \( x \) instead of \( y \)?
5. What happens to the equation if both sides are multiplied by 3?

**Tip:** When solving linear equations, always perform the same operation on both sides to maintain equality.

Learn how to solve the linear equation 8x - 2y = 18 for y step-by-step. This problem covers concepts such as isolating variables and solving linear equations. Suitable for students in Grades 7-9.

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