"Make" is a very flexible word in English. Yes you can "make" somebody "happy / sad / frustrated / angry / hungry, etc". There is a well-known song in English with these lyrics: "You are my sunshine, my only sunshine. You make me happy when skies are grey. You'll never know dear, how much I love you. Please don't take my sunshine away." Sometimes it helps if I can hear songs in other languages to have a context for phrases, like "you make me happy". I'm sure you could find a video on the internet of someone singing this song if you're interested.

hello, Bulent. Then, how about this sentence, The mom made the boy turn off the TV. I have been learning sort of these sentences recently. In my mind, it concerns the sentence structure, and the word 'make' is special.

Your sentence is correct! The following structure is used here: to make somebody/something be or become something= to cause somebody/something to be or become somthing 'You made me happy.' 'The news made me sad.' 'You made things difficult.'