Question
Solve for \( y \). Simplify your answer as much as possible and type it in the box below (number only). \[ -5 y+10+9 y=34 \]
Ask by Wheeler Mcguire. in the United States
Dec 09,2024
Real Tutor Solution
Tutor-Verified Answer
Answer
6
Solution
Solve the equation \( -5y+10+9y=34 \).
Solve the equation by following steps:
- step0: Solve for \(y\):
\(-5y+10+9y=34\)
- step1: Add the terms:
\(4y+10=34\)
- step2: Move the constant to the right side:
\(4y=34-10\)
- step3: Subtract the numbers:
\(4y=24\)
- step4: Divide both sides:
\(\frac{4y}{4}=\frac{24}{4}\)
- step5: Divide the numbers:
\(y=6\)
The solution to the equation \(-5y+10+9y=34\) is \(y=6\).
Reviewed and approved by the UpStudy tutoring team
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Simplify this solution Bonus Knowledge
To solve for \( y \), start by combining like terms. The equation is: \[ -5y + 9y + 10 = 34 \] This simplifies to: \[ 4y + 10 = 34 \] Next, subtract 10 from both sides: \[ 4y = 34 - 10 \] This gives: \[ 4y = 24 \] Now, divide both sides by 4: \[ y = \frac{24}{4} = 6 \] So the simplified answer is \( 6 \).
