Learn Turkish: Sokakta tökezledim ve düşeyazdım. - I stumbled on the street and almost fell.

It uses the approximative compound verb structure. You take the root düş- (to fall), add the connecting vowel -e, and attach the auxiliary verb yazmak. While yazmak normally means "to write," in this grammar pattern it means "to almost do" an action. Then we just add the past tense -dı and the personal ending -m.

Would native speakers actually use düşeyazdım in everyday conversation?

Usually, no. The -(y)Ayazmak structure is quite literary and sounds a bit old-fashioned or poetic in daily speech. Native speakers are much more likely to say az kalsın düşüyordum or neredeyse düştüm. However, you will definitely encounter düşeyazmak in books, so it is essential to understand it!

Why is there an -e between düş and yazmak instead of an -i or -a?

The approximative structure requires an A-type vowel (-e or -a) to connect the main verb to yazmak, following 2-way vowel harmony. Because the vowel in düş- is ü (a front vowel), it takes -e. If the root had a back vowel, like çarp- (to crash), it would take -a, becoming çarpayazmak.

Could I use the -ip suffix here instead of the word ve?