Problem

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. \[ y= \]

Solution

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 \(\boxed{-\frac{4}{15}}\).

From Solvely APP
Source: https://solvelyapp.com/problems/46337/

Get free Solvely APP to solve your own problems!

solvely Solvely
Download