Learn Turkish: Resmim yeni değil. - My picture is not new.

The root word for 'picture' is resim. When we add a suffix that starts with a vowel, like the 'my' suffix -im, the second vowel of the root word drops out. So resim + -im becomes resmim. This is called vowel omission, and it happens to a specific group of Turkish two-syllable nouns.

Where is the word 'is' in this sentence?

In Turkish, there is no separate word for 'is' in this context. Instead, the 'is' meaning is built into the negative word değil, which translates to 'is not' when used on its own for third-person subjects (like 'it' or 'my picture').

Could I say benim resmim instead of just resmim?

Yes, you can! Benim resmim means 'my picture', but because the -im suffix on resmim already tells us the picture belongs to 'me', the word benim (my) is usually dropped unless you want to emphasize that it is YOUR picture, not someone else's.

Why doesn't değil have a personal suffix here?

Because the subject of the sentence is 'my picture' (a third-person 'it'). In Turkish, the third-person singular ('he', 'she', or 'it') takes no personal suffix. If you wanted to say 'I am not new', you would add a suffix to make it yeni değilim.