To solve the equation \( \frac{1}{3} + \frac{1}{4} = \frac{1}{y} \), follow these steps:

1. **Find a common denominator** for the fractions on the left side of the equation:
   \[
   \frac{1}{3} + \frac{1}{4} = \frac{4}{12} + \frac{3}{12} = \frac{7}{12}
   \]

2. **Set the equation equal** to \( \frac{1}{y} \):
   \[
   \frac{7}{12} = \frac{1}{y}
   \]

3. **Solve for \( y \)** by taking the reciprocal of both sides:
   \[
   y = \frac{12}{7}
   \]

Thus, the solution is \( y = \frac{12}{7} \).

Would you like more details or have any questions? Here are some related questions:

1. How do you find a common denominator for fractions?
2. What is the reciprocal of a fraction and how is it used in equations?
3. How do you simplify fractions after solving an equation?
4. Can this method be used to solve more complex equations involving fractions?
5. How would you solve for \( y \) if the equation had more terms on both sides?

**Tip:** When working with fractions, always check if you can simplify them before and after performing operations.

Learn how to solve the equation 1/3 + 1/4 = 1/y step-by-step with detailed explanations and examples. This problem involves fractions, equations, and finding reciprocals. Suitable for students in Grades 6-8.

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