Question

Solve each equation or formula for the variable indicated.

$m=\frac{2}{5}y+n$,for$y$

Short answer

The solution of the equation for$y$ is $\frac{5(m-n)}{2}$.

Step-by-step solution

Step 1. Given information.

We have an equation $m=\frac{2}{5}y+n$.

To find the solution of the given equation for $y$.

Step 2. Calculation.

Solving the above equation:

$\begin{array}{l}m=\frac{2}{5}y+n\\ \Rightarrow \frac{2}{5}y=m-n\\ \Rightarrow y=\frac{5(m-n)}{2}\end{array}$

Step 3. Conclusion.

From Above calculation

$y=\frac{5(m-n)}{2}$

Hence, the solution of the equation for$y$ is $\frac{5(m-n)}{2}$.