Solve for $$ y $$. $$ -\frac{1}{3}=\frac{1}{2} y-\frac{6}{5} $$ Simplify. your answer as much as possible.

Question

UpStudy AI · Accepted Answer

To solve for $$ y $$ in the equation:

$$
-\frac{1}{3} = \frac{1}{2}y - \frac{6}{5},
$$

follow these steps:

1. **Isolate the term with $$ y $$:**
   
   Add $$\frac{6}{5}$$ to both sides to move the constant term to the left:

$$
   -\frac{1}{3} + \frac{6}{5} = \frac{1}{2}y.
   $$

2. **Combine the fractions on the left side:**
   
   To add $$-\frac{1}{3}$$ and $$\frac{6}{5}$$, find a common denominator, which is 15:

$$
   -\frac{5}{15} + \frac{18}{15} = \frac{13}{15}.
   $$

So, the equation becomes:

$$
   \frac{13}{15} = \frac{1}{2}y.
   $$

3. **Solve for $$ y $$:**
   
   Multiply both sides by 2 to isolate $$ y $$:

$$
   y = 2 \times \frac{13}{15} = \frac{26}{15}.
   $$

4. **Simplify the fraction (if necessary):**
   
   $$\frac{26}{15}$$ is already in its simplest form since 26 and 15 have no common factors other than 1.

**Final Answer:**

$$
y = \frac{26}{15}
$$
$$ y = \frac{26}{15} $$

Solve for .

Simplify. your answer as much as possible.

Upstudy AI Solution

Answer

Solution

Bonus Knowledge

Related Questions

Latest Algebra Questions

Solve for . Simplify. your answer as much as possible.