(5) Think about the equation $$ 3 y-9=24 $$. a. The value of $$ 3 y $$ is 33 . How do you know this is true? b. The value of $$ y $$ is 11 . How do you know this is true?

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**a. Verifying that $$3y = 33$$:**

1. Start with the equation:  
   $$
   3y - 9 = 24
   $$

2. Add 9 to both sides to isolate the term $$3y$$:
   $$
   3y - 9 + 9 = 24 + 9
   $$
   Simplifying gives:
   $$
   3y = 33
   $$

3. This shows that $$3y = 33$$ is true because adding 9 to both sides of the equation maintains equality.

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**b. Verifying that $$y = 11$$:**

1. With the isolated term from part (a), we have:
   $$
   3y = 33
   $$

2. Divide both sides of the equation by 3 to solve for $$y$$:
   $$
   \frac{3y}{3} = \frac{33}{3}
   $$
   Simplifying gives:
   $$
   y = 11
   $$

3. This confirms that $$y = 11$$ because dividing $$33$$ by $$3$$ yields $$11$$.
**a.** To find $$3y = 33$$, add 9 to both sides of the equation $$3y - 9 = 24$$, resulting in $$3y = 33$$. **b.** To find $$y = 11$$, divide both sides of $$3y = 33$$ by 3, which gives $$y = 11$$.

(5) Think about the equation \( 3 y-9=24 \). a. The value of \( 3 y \) is 33 . How do you know this is true? b. The value of \( y \) is 11 . How do you know this is true?

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