This is the 338th most frequent Turkish word.
sebebiyle
"Because of" or "due to."
Here, 'sebebiyle' is used to indicate the reason for not going outside, associated with 'rain' (yağmur).
Yağmur sebebiyle dışarı çıkamadık.
We couldn't go outside due to the rain.
In this sentence, 'sebebiyle' denotes the cause of missing the meeting, which is 'being late' (geç kalmamız).
Geç kalmamız sebebiyle toplantıyı kaçırdık.
We missed the meeting because we were late.
Here, 'sebebiyle' explains that the 'car malfunction' (arabanın arızası) is the reason for changing plans.