(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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To determine if the value of \( 3y \) is 33, we can rearrange the equation \( 3y - 9 = 24 \). By adding 9 to both sides, we find \( 3y = 24 + 9 \), which simplifies to \( 3y = 33 \). This confirms that the statement is accurate! Similarly, to find the value of \( y \), we can take the equation \( 3y = 33 \) we derived earlier and divide both sides by 3. This gives us \( y = \frac{33}{3} \), which simplifies to \( y = 11 \). Thus, we see that this value checks out too!
