You provided the equation \( \frac{x + 2y}{6} = y = 2 \), which looks like it's attempting to express two equations simultaneously. However, it needs clarification.

I'll break it down into parts:

1. \( \frac{x + 2y}{6} = y \)
2. \( y = 2 \)

### Step 1: Solve \( y = 2 \)
This gives us the value of \( y \).

### Step 2: Substitute \( y = 2 \) into \( \frac{x + 2y}{6} = y \)
Substituting \( y = 2 \) into the first equation:
\[
\frac{x + 2(2)}{6} = 2
\]
Simplify:
\[
\frac{x + 4}{6} = 2
\]
Multiply both sides by 6:
\[
x + 4 = 12
\]
Subtract 4 from both sides:
\[
x = 8
\]

### Final Solution:
- \( x = 8 \)
- \( y = 2 \)

Would you like more details or have any questions?

Here are 5 related questions to explore:

1. What happens if \( y \) is not equal to 2?
2. Can you solve \( \frac{x + 2y}{6} = y + 1 \)?
3. How does the solution change if the denominator is different?
4. What if the equation was \( \frac{2x + y}{6} = y \)?
5. Can you express \( x \) as a function of \( y \)?

**Tip:** Always isolate variables step by step to avoid errors in solving equations.

Discover how to solve the linear equation (x + 2y)/6 = y with y = 2 using the substitution method. This step-by-step guide is perfect for students in Grades 6-8 and covers key algebraic concepts, including equation simplification and solving for variables.

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