Question
2. \( 2(3 y-1)=16 \)
Ask by Mcguire Boyd. in the United States
Jan 23,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
\( y = 3 \)
Solution
To solve the equation \( 2(3y - 1) = 16 \) for \( y \), follow these steps:
1. **Expand the equation:**
\[
2 \times 3y - 2 \times 1 = 16
\]
\[
6y - 2 = 16
\]
2. **Add 2 to both sides to isolate the term with \( y \):**
\[
6y - 2 + 2 = 16 + 2
\]
\[
6y = 18
\]
3. **Divide both sides by 6 to solve for \( y \):**
\[
\frac{6y}{6} = \frac{18}{6}
\]
\[
y = 3
\]
**Solution:** \( y = 3 \)
Reviewed and approved by the UpStudy tutoring team
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Simplify this solution Beyond the Answer
Alright, let's dive into the solution! Start by distributing the 2 into the parentheses: \( 2 \cdot 3y - 2 \cdot 1 = 6y - 2 \). Now, the equation looks like this: \( 6y - 2 = 16 \). Next, add 2 to both sides to get \( 6y = 18 \). Finally, divide both sides by 6 to find \( y = 3 \). Voila, you've solved for \( y \)! To make the equation more relatable, imagine you're sharing a pizza (the left side), and after distributing some slices, you've still got a few left over to add to your total slices (the right side). By reorganizing and solving, you’re just figuring out how much each person gets in the end—just like sharing pizza!
