https://file.aiquickdraw.com/mathbot/file/172946543114359q4vvlr.jpg

The equation shown in the image is:

\[
y - \frac{1}{8} = -\frac{3}{4}
\]

To solve for \( y \), follow these steps:

1. **Isolate \( y \):**

   Add \( \frac{1}{8} \) to both sides of the equation to move it to the other side:

   \[
   y = -\frac{3}{4} + \frac{1}{8}
   \]

2. **Find a common denominator:**

   The common denominator between \( \frac{3}{4} \) and \( \frac{1}{8} \) is 8. Convert \( \frac{3}{4} \) to have a denominator of 8:

   \[
   -\frac{3}{4} = -\frac{6}{8}
   \]

   Now the equation becomes:

   \[
   y = -\frac{6}{8} + \frac{1}{8}
   \]

3. **Simplify the fractions:**

   Combine the fractions on the right side:

   \[
   y = \frac{-6 + 1}{8} = \frac{-5}{8}
   \]

Thus, the solution is:

\[
y = \frac{-5}{8}
\]

Let me know if you'd like more details on any step! Here are 5 related questions you might find useful:

1. How do you find a common denominator when adding fractions?
2. What is the general process for solving linear equations with fractions?
3. Can you explain how to convert mixed numbers to improper fractions?
4. What other methods can you use to solve equations with fractions?
5. How do you simplify complex fractions?

**Tip:** Always simplify your fractions at the end to make sure the answer is in its simplest form!

Solve for y: y - 1/8 = -3/4. Simplify your answer as much as possible.

Learn how to solve the linear equation y - 1/8 = -3/4 by isolating the variable and simplifying fractions. This step-by-step guide explains finding a common denominator and combining like terms. Suitable for middle school students in Grades 6-8.

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