"The woman is happy with the man."
Translation:Kadın adamla mutlu.
in "peynirli çorba" we have an Adjective Formation with -li, here the adjective has to come before the noun. ("çorba peynirli yerim" doesn't work)
on the other hand, adamla in "kadın adamla" is in instrumental case, and it can come either before or after "kadın" (kadın adamla mutlu and adamla kadın mutlu are both ok)