Sen bu problemi zor sanıyorsun, oysa çözüm çok basit.

Questions & Answers about Sen bu problemi zor sanıyorsun, oysa çözüm çok basit.

Why is it problemi (with the accusative ending) when the English translation says "the problem is difficult"?
The verb sanmak (to suppose / to think) takes a direct object. In Turkish, you are literally saying "You suppose this problem [to be] difficult." Because bu problem is a specific direct object, it takes the accusative suffix -i, making it bu problemi.
What does oysa add to this sentence, and how is it different from a simple ama (but)?
Oysa means "whereas" or "but actually." While ama just links two contrasting ideas, oysa highlights a strong contradiction between an assumption (thinking the problem is hard) and the reality (the solution is simple). It emphasizes that the first part is a misconception.
Could I use halbuki instead of oysa in this sentence?
Yes, absolutely! Halbuki and oysa are practically synonyms and can be used interchangeably here to mean "whereas" or "even though." Both perfectly express that the reality contradicts the assumption.
Is çözüm (solution) related to the verb çözmek (to solve)?
Yes, it is! The suffix -üm (or -ım, -um, -im) is often added to verb roots to turn them into nouns. Just like seçmek (to choose) becomes seçim (choice), çözmek (to solve) becomes çözüm (solution.

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