Only attempt this if you are comfortable with basic plumbing and have PVC pipes (easy to unscrew).
If the clog is caused by soap scum or softener buildup, heat is your best friend. how to unclog a laundry drain
If you have tried everything and the drain is still clogged, the blockage is likely deep or stuck in the P-trap (the curved section of pipe). Only attempt this if you are comfortable with