Solve for $$ y $$. $$ \frac{5}{y-2}=6 $$ Simplify your answer as much as possible $$ y=\square $$

Question

UpStudy AI · Accepted Answer

To solve the equation:

$$
\frac{5}{y - 2} = 6
$$

follow these steps:

1. **Multiply both sides by $$ y - 2 $$** to eliminate the denominator:

$$
5 = 6(y - 2)
$$

2. **Expand the right side**:

$$
5 = 6y - 12
$$

3. **Add 12 to both sides** to isolate the term with $$ y $$:

$$
17 = 6y
$$

4. **Divide both sides by 6** to solve for $$ y $$:

$$
y = \frac{17}{6}
$$

So, the simplified solution is:

$$
y = \frac{17}{6}
$$
$$ y = \frac{17}{6} $$

Solve for \( y \). \[ \frac{5}{y-2}=6 \] Simplify your answer as much as possible \( y=\square \)