Solving a two-step equation with signed fractions
Solve for $y$.
\[
-\frac{1}{2} y-\frac{6}{5}=-\frac{4}{3}
\]
Simplify your answer as much as possible.
\[
y=
\]
Answer
Final Answer: The solution to the equation is \(\boxed{-\frac{4}{15}}\).
Step 1 ：Start with the equation \(-\frac{1}{2} y - \frac{6}{5} = -\frac{4}{3}\).
Step 2 ：Add \(\frac{6}{5}\) to both sides of the equation to isolate the term with the variable y on one side. This gives us \(-\frac{1}{2}y = -\frac{4}{3} + \frac{6}{5}\).
Step 3 ：Next, multiply both sides of the equation by -2 to solve for y. This gives us \(y = 2(-\frac{4}{3} + \frac{6}{5})\).
Step 4 ：Perform the calculation on the right side of the equation to find the value of y. This gives us \(y = -\frac{4}{15}\).
Step 5 ：Final Answer: The solution to the equation is \(\boxed{-\frac{4}{15}}\).
