If the curve, y=y(x) represented by the solution of the differential equation (2 x y^2-y) d x+x d y=0, passes through the intersection of the lines,…

If the curve, $\displaystyle y=y(x)$ represented by the solution of the differential equation $\displaystyle \left(2 x y^2-y\right) \mathrm{d} x+x \mathrm{~d} y=0$, passes through the intersection of the lines, $\displaystyle 2 x-3 y=1$ and $\displaystyle 3 x+2 y=8$, then $\displaystyle |y(1)|$ is equal to \_\_\_\_.