This is the 10956th most frequent Turkish word.
diliyle
"With his/her/its language" or "by means of his/her/its tongue."
Here, 'diliyle' refers to the cat using its tongue as a tool to consume milk.
Kedi sütü diliyle yiyor.
The cat eats milk with its tongue.
In this sentence, 'diliyle' is used figuratively to refer to the teacher's use of plain language for explanation.
Öğretmen bize konuyu sade bir dille anlattı.
The teacher explained the topic to us in a plain language.
Here, 'diliyle' is metaphorically referring to the expressive medium, which is the way the paintings convey emotions.