Desmadre is a versatile and very common slang term in Mexican Spanish, often used to describe a chaotic situation, a big mess, or a wild party. It literally translates to something like "un-mothering" but its actual meaning is far from that.
In "OTRO DESMADRE," the word is used to convey the idea of another wild, out-of-control situation or party, reinforcing the song's theme of a rebellious and carefree lifestyle. It's an interesting word because it's so culturally specific and captures a certain attitude.
"OTRO DESMADRE" (another wild mess) is a party bragging song packed with Mexican slang, and that slang is the fun part. A desmadre is a chaotic, out-of-control blowout, and the singer announces right away that he's in the middle of one: "no me llamas que ando a media puta acción" (don't call me, I'm in the middle of the f*cking action). He's broke on sleep but proud of it, "Traigo la muerte encima, pero salí más cabrón" (I've got death on my back, but I came out tougher), and his relationship with water is hilarious: "Al agua le hago feo y nomás quiero alcohol pa' la panza" (I turn my nose up at water and just want alcohol for my belly).
The chorus is a full confession with no apology. "Todo el rancho ya lo patrullé" (I already patrolled the whole ranch) means he's been everywhere, and "bien pedo con mis compas" (really drunk with my buddies) is classic Mexican slang where pedo means drunk, while "no hay pedo" means "no problem". He warns the girl "No vas a cambiar mi vida" (you're not going to change my life) and admits "sigo siendo un perro" (I'm still a dog, a player). Other gems: "qué tranza" (what's up), "la chamba" (work), "cantón" (home), and "pinche cruda" (damn hangover). The line "se robó tu hermana" (stole your sister from the house) is the old rural idea of running off with a girlfriend. It's loud, crude and a bit much, which is exactly the point.