The equation provided in the image is:

$\frac{y - 5}{3} = \frac{4}{5}$

Step-by-step solution:

1. Eliminate the fractions by cross-multiplying: Multiply both sides by the denominators of the fractions, $3$ and $5$: $5(y - 5) = 3(4)$

2. Simplify both sides: $5y - 25 = 12$

3. Isolate $5y$: Add $25$ to both sides: $5y = 37$

4. Solve for $y$: Divide both sides by $5$: $y = \frac{37}{5}$

Final Answer:

$y = \frac{37}{5} \text{ or } 7.4$

Let me know if you have further questions or need clarification!

Related Questions:

1. How can you check your solution in a fraction-based equation?
2. What are common mistakes to avoid when cross-multiplying?
3. How do you convert improper fractions into decimals?
4. What strategies can you use to solve equations with variables on both sides?
5. How can this method be extended to equations with multiple variables?

Tip:

When solving equations with fractions, always simplify the fractions and check your solution by substituting it back into the original equation.