Learn Turkish: Katlanamıyorum bu muameleye, çok uzlaşmaz o adam. - I cannot stand this treatment, that man is very uncompromising.

This is a classic inverted sentence (devrik cümle). In everyday spoken Turkish, putting the verb first places the emotional focus immediately on the inability to stand it (katlanamıyorum). The object (bu muameleye) is tacked on at the end as an afterthought or secondary information to complete the thought.

Is çok uzlaşmaz o adam also an inverted sentence?

Yes! In standard written Turkish, the subject goes first: O adam çok uzlaşmaz. Moving the subject o adam (that man) to the end emphasizes the predicate çok uzlaşmaz (very uncompromising). It makes the sentence sound more natural and expressive in spoken contexts.

How does the suffix breakdown in katlanamıyorum give us 'I cannot stand'?

The root is katlanmak (to stand or endure). The key part is the -a- right after the root, which is the inability suffix (the negative form of -ebil). So we get katlan (stand) + a (cannot) + mı (negative particle, narrowed from ma) + yor (present continuous) + um (I).

Why does muamele take the dative case (-ye) here?