You have the following function:
[tex]2x=\frac{12}{5}+\frac{6}{5}y[/tex]In order to solve for y, proceed as follow:
- Subtract 12/5 both sides
[tex]2x-\frac{12}{5}=\frac{6}{5}y[/tex]- Multiply by 5/6 and simplify
[tex]\begin{gathered} \frac{5}{6}(2x-\frac{12}{5})=\frac{5}{6}\cdot\frac{6}{5}y \\ \frac{10}{6}x-\frac{60}{30}=y \\ \frac{5}{2}x-2=y \\ y=\frac{5}{2}x-2 \end{gathered}[/tex]Hence, the solution for y is:
y = 5/2 x - 2
