To find the value of \( y \) in the equation \( 7.9y - 12.4 - 2.3y = 15.6 \), follow these steps:

1. **Combine like terms** on the left side of the equation:
   \[
   7.9y - 2.3y - 12.4 = 15.6
   \]
   Simplify the coefficients of \( y \):
   \[
   (7.9 - 2.3)y - 12.4 = 15.6
   \]
   \[
   5.6y - 12.4 = 15.6
   \]

2. **Isolate the term with \( y \)** by adding 12.4 to both sides of the equation:
   \[
   5.6y - 12.4 + 12.4 = 15.6 + 12.4
   \]
   \[
   5.6y = 28
   \]

3. **Solve for \( y \)** by dividing both sides by 5.6:
   \[
   y = \frac{28}{5.6}
   \]
   \[
   y = 5
   \]

So, \( y \) equals 5.

Would you like further details or have any questions?

Here are 8 related questions to expand your understanding:

1. What are like terms, and how do you identify them?
2. How do you isolate a variable in an equation?
3. Why is it important to perform the same operation on both sides of an equation?
4. Can you solve for \( y \) if the equation includes fractions?
5. How would you solve \( 7.9y - 12.4 = 2.3y + 15.6 \)?
6. What happens if \( y \) is a negative number?
7. How do you check if your solution to an equation is correct?
8. What strategies can be used to simplify complex equations?

**Tip:** When solving equations, always combine like terms first to simplify your calculations.

Learn how to solve the linear equation 7.9y - 12.4 - 2.3y = 15.6 with a detailed step-by-step solution. This problem involves combining like terms, isolating variables, and performing arithmetic operations. Suitable for students in Grades 7-9.

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