Solve for yy.
9, equals, 5, minus, start fraction, y, divided by, 3, end fraction
9=
5− 
3
y
​


The equation you're working with is:

\[
9 = 5 - \frac{y}{3}
\]

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

1. **Subtract 5 from both sides** to isolate the term with \( y \) on one side:
   \[
   9 - 5 = - \frac{y}{3}
   \]
   Simplifying the left side:
   \[
   4 = - \frac{y}{3}
   \]

2. **Multiply both sides by -3** to eliminate the fraction:
   \[
   4 \times (-3) = y
   \]
   Simplifying:
   \[
   y = -12
   \]

Thus, the solution is \( y = -12 \).

Would you like any further explanation or a deeper breakdown?

Here are some related questions for further exploration:
1. What if the equation were \( 9 = 5 - \frac{2y}{3} \)?
2. How do you solve the equation \( 9 = 5 - \frac{y + 1}{3} \)?
3. What happens if the constant 9 is replaced by a variable, such as \( x = 5 - \frac{y}{3} \)?
4. How do you solve for \( y \) in equations with higher powers, like \( 9 = 5 - \frac{y^2}{3} \)?
5. Can you solve similar problems involving decimals instead of fractions?

**Tip**: Always check your solution by substituting it back into the original equation!

Learn how to solve the linear equation 9 = 5 − y/3 with a step-by-step solution. This problem demonstrates key algebraic concepts such as isolating variables and solving for y. Ideal for students in Grades 6-8.

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