Solve for $$ y $$. $$ -\frac{4}{7} y+\frac{4}{3}=-\frac{1}{6} $$ Simplify your answer as much as possible $$ y=\square $$

Question

UpStudy AI · Accepted Answer

To solve the equation for $$ y $$:

$$
- \frac{4}{7} y + \frac{4}{3} = -\frac{1}{6}
$$

**Step 1:** Subtract $$\frac{4}{3}$$ from both sides to isolate the term with $$ y $$:

$$
- \frac{4}{7} y = -\frac{1}{6} - \frac{4}{3}
$$

**Step 2:** Find a common denominator to combine the fractions on the right-hand side. The common denominator for 6 and 3 is 6:

$$
- \frac{4}{7} y = -\frac{1}{6} - \frac{8}{6} = -\frac{9}{6} = -\frac{3}{2}
$$

**Step 3:** Multiply both sides by $$-\frac{7}{4}$$ to solve for $$ y $$:

$$
y = \left(-\frac{3}{2}\right) \times \left(-\frac{7}{4}\right) = \frac{21}{8}
$$

**Final Answer:**

$$
y = \frac{21}{8}
$$
$$ y = \frac{21}{8} $$

Solve for \( y \). \[ -\frac{4}{7} y+\frac{4}{3}=-\frac{1}{6} \] Simplify your answer as much as possible \( y=\square \)