This is the 11612th most frequent Turkish word.
faydayı
"Faydayı" means "the benefit" or "the advantage" in English.
The word 'faydayı' is used as the accusative form of 'fayda', meaning 'benefit', denoting the direct object of the verb 'sağlıyor' (provides).
Bu sağlık sigortası, acil durumlarda büyük bir faydayı sağlıyor.
This health insurance provides great benefit in emergencies.
Here, 'faydayı' is the accusative form of 'fayda', referring to the benefit being increased explicitly as the object of the action indicated by 'artıracağına' (will increase).
Onunla çalışmanın faydayı artıracağına inanıyorum.
I believe that working with them will increase the benefit.
In this case, 'faydayı' again appears in the accusative form, pointing to the explicit benefit derived from education as the object of the verb 'küçümsememeliyiz' (should not underestimate).