A laser beam is incident on two slits with separation $d=0\mathrm{.}042mm.$ A screen is placed $L=3\mathrm{.}8m$ from the slits. The wavelength of the laser light is $=3750.{}_1$ and ${}_2$ are the angles to the first and second bright fringes above the center of the screen.

Solve for the numerical value of $y,$ the distance between the two bright fringes on the screen, in meters.