To solve the equation $\frac{13}{3} = \frac{26}{y}$ using fraction busting, follow these steps:

Step-by-Step Solution:

1. Start with the equation: $\frac{13}{3} = \frac{26}{y}$

2. Multiply both sides by the least common denominator (LCD): The LCD here is $3y$, which will eliminate the denominators.

   $3y \cdot \frac{13}{3} = 3y \cdot \frac{26}{y}$

3. Simplify both sides: On the left-hand side, the $3$'s cancel out, leaving $13y$. On the right-hand side, the $y$'s cancel out, leaving $26 \times 3$.

   So, the equation becomes: $13y = 78$

4. Solve for $y$: Divide both sides by 13 to isolate $y$.

   $y = \frac{78}{13}$

   $y = 6$

Final Answer:

The solution is $y = 6$.

Would you like more details or have any questions?

Here are 5 related questions to extend your understanding:

1. How would you solve $\frac{5}{x} = \frac{10}{12}$?
2. Can you solve $\frac{a}{b} = \frac{c}{d}$ for $b$?
3. What is the general approach for solving proportions?
4. How can cross-multiplying help solve fractional equations?
5. What happens if both sides of the equation have more complex expressions?

Tip: When solving equations with fractions, it's often useful to multiply by the least common denominator (LCD) to simplify the equation quickly.