Question
Solve for \( v \). \[ -4+2 v=-8 \] Simplify your answer as mi \( y=\square \)
Ask by Floyd Daniels. in the United States
Feb 25,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
\( y = -2 \)
Solution
Solve the equation by following steps:
- step0: Solve for \(v\):
\(-4+2v=-8\)
- step1: Move the constant to the right side:
\(2v=-8+4\)
- step2: Add the numbers:
\(2v=-4\)
- step3: Divide both sides:
\(\frac{2v}{2}=\frac{-4}{2}\)
- step4: Divide the numbers:
\(v=-2\)
To solve for \( v \) in the equation
\[
-4 + 2v = -8,
\]
we can follow these steps:
1. **Add 4 to both sides** to isolate the term with \( v \):
\[
2v = -8 + 4.
\]
2. **Simplify the right side**:
\[
2v = -4.
\]
3. **Divide both sides by 2** to solve for \( v \):
\[
v = \frac{-4}{2} = -2.
\]
Thus, the simplified answer is
\[
y = -2.
\]
Answered by UpStudy AI and reviewed by a Professional Tutor
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Extra Insights
To solve for \( v \) in the equation \( -4 + 2v = -8 \), first, add 4 to both sides: \[ 2v = -8 + 4 \] This simplifies to: \[ 2v = -4 \] Next, divide both sides by 2: \[ v = \frac{-4}{2} = -2 \] So, the solution is \( v = -2 \). Thus, \( y = -2 \).