This is the 6104th most frequent Turkish word.
yenisini
"The new one."
Here, 'yenisini' replaces 'a new bag', referencing the previous mention of the broken bag and specifying it as a replacement.
Eski çantam kırıldı, bu yüzden yenisini aldım.
My old bag broke, so I bought a new one.
In this case, 'yenisini' refers to 'new glasses', indicating buying a replacement for the broken ones using the possessive suffix.
Kırık gözlükleriyle idare edemedi ve sonunda yenisini sipariş etti.
He couldn't manage with his broken glasses and finally ordered a new pair.
Here, 'yenisini' substitutes 'a new phone', with the context inferred from the mention of the damaged phone.