Question
Solve for \( y \) \( \quad y-2=-9 \)
Ask by Wyatt Hanson. in the United States
Jan 23,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
\( y = -7 \)
Solution
To solve the equation \( y - 2 = -9 \) for \( y \), follow these steps:
1. **Add 2 to both sides of the equation** to isolate \( y \):
\[
y - 2 + 2 = -9 + 2
\]
2. **Simplify both sides**:
\[
y = -7
\]
**Solution:** \( y = -7 \)
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Bonus Knowledge
To solve for \( y \), you need to isolate it on one side of the equation. Start by adding 2 to both sides of the equation: \[ y - 2 + 2 = -9 + 2 \] This simplifies to: \[ y = -7 \] So the solution is \( y = -7 \). If you're ever unsure, just remember that you can always check your work! Substitute \( y \) back into the original equation: \[ -7 - 2 = -9 \] Since both sides equal -9, you can confidently say your solution \( y = -7 \) is correct!