Hi Georges
My sink is in the corner of the basement and water has to travel about 30ft.to the main drain.So from your sink you have to have about 2% fall to the main drain and right after "P" trap or as close as you can you have to have vent for the drain to work usually vents go to the roof but you can use cheater vent.Right outside of the wall I installed "Y' coupling and straight pipe up about 3ft, vent cap.Down at the other end the main drain 4" pipe cut it install 4"x11/4" coupling .You can join all this with rubber couplings because main drain is not flexible.So you don't have to have a pump to get rid of the water. Hopefully this helps.
Regards Greg