https://file.aiquickdraw.com/mathbot/file/1725592043276fskie5ab.jpg

The equation in the image is:

\[
\frac{5}{6} - \frac{3}{8}y = \frac{2}{3}
\]

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

### Step 1: Isolate the term involving \( y \)
Subtract \(\frac{5}{6}\) from both sides of the equation:

\[
-\frac{3}{8}y = \frac{2}{3} - \frac{5}{6}
\]

### Step 2: Subtract the fractions on the right-hand side
To subtract the fractions, find a common denominator. The least common denominator (LCD) for \(\frac{2}{3}\) and \(\frac{5}{6}\) is 6.

\[
\frac{2}{3} = \frac{4}{6}
\]

So,

\[
\frac{4}{6} - \frac{5}{6} = \frac{4 - 5}{6} = \frac{-1}{6}
\]

Now, the equation becomes:

\[
-\frac{3}{8}y = \frac{-1}{6}
\]

### Step 3: Solve for \( y \)
To solve for \( y \), multiply both sides by the reciprocal of \(-\frac{3}{8}\):

\[
y = \frac{-1}{6} \times \frac{-8}{3}
\]

Simplify the expression:

\[
y = \frac{8}{18} = \frac{4}{9}
\]

### Final Answer:
\[
y = \frac{4}{9}
\]

Would you like a more detailed explanation, or do you have any questions?

Here are 5 related questions for practice:
1. Solve \(\frac{7}{5} - \frac{4}{3}x = \frac{1}{2}\) for \(x\).
2. What is the result of \(\frac{5}{4} + \frac{3}{2}y = 2\) when solving for \(y\)?
3. Solve \(\frac{9}{7} - \frac{2}{5}y = \frac{1}{3}\) for \(y\).
4. Find the value of \(x\) in \(\frac{1}{2}x + \frac{1}{3} = \frac{3}{4}\).
5. How would you solve \(\frac{2}{3} - \frac{1}{4}y = \frac{1}{6}\) for \(y\)?

**Tip:** When dealing with fractions in equations, finding a common denominator is key to simplifying the terms effectively.

Solve the equation 5/6 - 3/8y = 2/3 and express the answer as a proper or improper fraction.

Learn how to solve the algebraic equation 5/6 - 3/8y = 2/3 with step-by-step guidance. This solution involves key concepts such as finding a common denominator and multiplying by the reciprocal. Ideal for students in Grades 8-10.

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