To solve the equation \( 9 = 5 - \frac{3}{y} \), let's isolate \( y \).

1. Start by subtracting 5 from both sides:
\[
9 - 5 = - \frac{3}{y}
\]
\[
4 = - \frac{3}{y}
\]

2. Multiply both sides by \( y \) to get rid of the denominator:
\[
4y = -3
\]

3. Now, solve for \( y \) by dividing both sides by 4:
\[
y = -\frac{3}{4}
\]

Thus, \( y = -\frac{3}{4} \).

Would you like further details or have any questions?

Here are some related questions for practice:

1. Solve for \( y \): \( 7 = 3 - \frac{5}{y} \).
2. Solve \( 8 = 6 - \frac{4}{y} \) for \( y \).
3. What is the value of \( y \) in \( 10 = 4 - \frac{6}{y} \)?
4. If \( 12 = 9 - \frac{8}{y} \), what is \( y \)?
5. Solve \( 5 = 2 - \frac{7}{y} \) for \( y \).

**Tip:** Always check for extraneous solutions when dealing with fractions in equations.

Learn how to solve the equation 9 = 5 - 3/y in a detailed step-by-step solution. This problem involves key algebraic concepts like equation manipulation and solving fractional equations. Suitable for students in Grades 7-8.

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