To say 'Let's....', two suffixes need to be added onto the verb base.
1) The first suffix is '-(y)e/a-' (the 'y' is only used if the last letter is a vowel)
2) The second suffix is the personal ending.
* For he/she/it, there are two choices.
Either;
The first suffix '-(y)e/a' is used and no personal ending e.g gel-e (let him go) or
The first suffix is left out and just the personal ending is used e.g gel-sin (let him go)
** 'They' is similar; either gel-e-ler or gel-sinler is used.
examples
Let me come - gel-e-yim
Let me take - al-a-yım
Let you come - gel-e-sin
Let him come - gel-e or gel-sin
Let's come- gel-e-lim
Let you come - gel-siniz
Let them come - gel-sinler or gel-e-ler
This suffix can be used for a number of meanings. The most common meaning is 'let's...' or 'let me....'.
However it can also be used with questions to mean 'shall i....'. To make a question out of it, simply add the question marker -'mi' and change accordingly with vowel harmony.
examples
shall i come = gel-e-yim mi?
shall we wait = bekle-ye-lim mi?
etc