Question
Solve the following linear equation. Click Here for Help Video
−4y−6=16-4y-6=16−4y−6=16
y=y=y=
Answers
GPT-4o mini
To solve the equation \(-4y - 6 = 16\), we can follow these steps:
1. **Add 6 to both sides** of the equation to isolate terms involving \(y\):
\[
-4y - 6 + 6 = 16 + 6
\]
This simplifies to:
\[
-4y = 22
\]
2. **Divide both sides by -4** to solve for \(y\):
\[
y = \frac{22}{-4}
\]
Simplifying that gives:
\[
y = -\frac{22}{4} = -\frac{11}{2} = -5.5
\]
So, the solution for \(y\) is:
\[
y = -\frac{11}{2} \quad \text{or} \quad y = -5.5.
\]
1. **Add 6 to both sides** of the equation to isolate terms involving \(y\):
\[
-4y - 6 + 6 = 16 + 6
\]
This simplifies to:
\[
-4y = 22
\]
2. **Divide both sides by -4** to solve for \(y\):
\[
y = \frac{22}{-4}
\]
Simplifying that gives:
\[
y = -\frac{22}{4} = -\frac{11}{2} = -5.5
\]
So, the solution for \(y\) is:
\[
y = -\frac{11}{2} \quad \text{or} \quad y = -5.5.
\]