Question
Using the addition property of equality first, solve the following equation \( -5 y-6=4 \) \( y=\square \)
Ask by Stuart Adkins. in the United States
Feb 21,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
\( y=-2 \)
Solution
Solve the equation \( -5y-6=4 \).
Solve the equation by following steps:
- step0: Solve for \(y\):
\(-5y-6=4\)
- step1: Move the constant to the right side:
\(-5y=4+6\)
- step2: Add the numbers:
\(-5y=10\)
- step3: Change the signs:
\(5y=-10\)
- step4: Divide both sides:
\(\frac{5y}{5}=\frac{-10}{5}\)
- step5: Divide the numbers:
\(y=-2\)
The solution to the equation \( -5y-6=4 \) is \( y=-2 \).
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Simplify this solution The Deep Dive
To solve the equation \( -5y - 6 = 4 \) using the addition property of equality, start by adding 6 to both sides: \(-5y - 6 + 6 = 4 + 6\) This simplifies to: \(-5y = 10\) Next, divide both sides by -5 to isolate \(y\): \(y = \frac{10}{-5}\) Therefore, \(y = -2\). So, the final answer is \(y = -2\).
