https://file.aiquickdraw.com/mathbot/file/1723741361504n40am8kv.jpg

The problem in the image asks you to solve the equation for \( y \):

\[
11y - 8y - 2 = 10
\]

### Steps to Solve:

1. **Combine like terms** on the left side of the equation:
   \[
   (11y - 8y) - 2 = 3y - 2
   \]

   So the equation simplifies to:
   \[
   3y - 2 = 10
   \]

2. **Isolate the variable** \( y \) by adding 2 to both sides:
   \[
   3y = 10 + 2
   \]
   \[
   3y = 12
   \]

3. **Solve for \( y \)** by dividing both sides by 3:
   \[
   y = \frac{12}{3} = 4
   \]

So, \( y = 4 \).

Do you need further explanation on any part of this solution, or do you have another question?

### Related Questions:
1. How do you combine like terms in an equation?
2. What steps should you take to isolate a variable?
3. What does it mean to solve a linear equation?
4. How would you solve the equation if it were \( 11y + 8y - 2 = 10 \)?
5. What is the process of solving equations with negative coefficients?
6. Can you explain how to handle equations with fractions?
7. How would the solution change if the equation had variables on both sides?
8. How can you verify your solution to an equation?

**Tip:** When solving equations, always remember to perform the same operation on both sides to keep the equation balanced.

Learn how to solve the linear equation 11y - 8y - 2 = 10 with a detailed step-by-step solution. This problem covers key algebraic concepts, including combining like terms and isolating variables. Suitable for students in Grades 6-8.

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