The lymph drainage
on the right side is via the right lymphatic duct which drains into the right subclavian vein
at its junction with the right internal jugular vein
The lymph drainage from the left side is via the thoracic duct
which drains into the left brachiocephalic vein which joins the venous circulation at the junction of the left subclavian and internal jugular veins.
I hope this helps you. Good luck with your studies.