To solve the equation \(\frac{3}{11} = \frac{6}{y}\), we can use cross-multiplication to find the value of \(y\).

### Steps:
1. Cross-multiply:
   \[
   3 \cdot y = 11 \cdot 6
   \]

2. Simplify both sides:
   \[
   3y = 66
   \]

3. Solve for \(y\):
   \[
   y = \frac{66}{3} = 22
   \]

Thus, \(y = 22\).

Would you like further details on this method or have any questions?

Here are 5 related questions to deepen your understanding:
1. What is cross-multiplication, and why is it used?
2. How would you solve \(\frac{a}{b} = \frac{c}{d}\) for \(b\)?
3. What happens when both numerators and denominators contain variables?
4. Can you solve \(\frac{5}{x} = \frac{8}{12}\)?
5. How do you check your solution to ensure it's correct?

**Tip:** Always check your answer by substituting it back into the original equation!

Learn how to solve the proportion 3/11 = 6/y using cross-multiplication. This step-by-step guide will show how to calculate the value of y by applying the cross-multiplication method, a key concept in algebra and proportions. Ideal for students in Grades 6-8.

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