Question
Solve for \( y \) \[ 2(3 y-7)=16 \] Simplify your answer as much as possible.
Ask by Schultz Cross. in the United States
Mar 12,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
\( y=5 \)
Solution
Solve the equation \( 2(3y-7)=16 \).
Solve the equation by following steps:
- step0: Solve for \(y\):
\(2\left(3y-7\right)=16\)
- step1: Divide both sides:
\(\frac{2\left(3y-7\right)}{2}=\frac{16}{2}\)
- step2: Divide the numbers:
\(3y-7=8\)
- step3: Move the constant to the right side:
\(3y=8+7\)
- step4: Add the numbers:
\(3y=15\)
- step5: Divide both sides:
\(\frac{3y}{3}=\frac{15}{3}\)
- step6: Divide the numbers:
\(y=5\)
The solution to the equation \(2(3y-7)=16\) is \(y=5\).
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Simplify this solution Beyond the Answer
To solve the equation \( 2(3y - 7) = 16 \), start by distributing the 2 on the left side: \[ 6y - 14 = 16 \] Next, add 14 to both sides to isolate the term with \( y \): \[ 6y = 30 \] Now, divide both sides by 6: \[ y = 5 \] Thus, the solution is \( y = 5 \).
