To solve the equation:

\[
y - \frac{3}{4} = -\frac{1}{3},
\]

we start by isolating \( y \). Here's the step-by-step solution:

1. Add \(\frac{3}{4}\) to both sides of the equation:

   \[
   y = -\frac{1}{3} + \frac{3}{4}.
   \]

2. To add these fractions, find a common denominator. The least common denominator between 3 and 4 is 12.

3. Rewrite each fraction with the common denominator:

   \[
   -\frac{1}{3} = -\frac{4}{12} \quad \text{and} \quad \frac{3}{4} = \frac{9}{12}.
   \]

4. Add the fractions:

   \[
   y = -\frac{4}{12} + \frac{9}{12} = \frac{5}{12}.
   \]

So, the solution is:

\[
\boxed{y = \frac{5}{12}}
\]

Would you like more details on any step or have any questions?

Here are some related questions:
1. How do you find a common denominator when adding fractions?
2. What are other methods for solving linear equations?
3. How do you convert fractions into decimals?
4. What is the significance of adding the same value to both sides of an equation?
5. How can you check if your solution to an equation is correct?

**Tip:** When adding fractions, always ensure they have the same denominator before performing the addition!

Learn how to solve the linear equation y - 3/4 = -1/3 using algebraic methods and fraction addition. This step-by-step guide covers key concepts like finding common denominators and applying the equality property of equations. Suitable for students in Grades 6-8.

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