\(15(y-4)-2(y-9)+5(y+6)=0\)\(\Rightarrow\) \(15y - 60 - 2y + 18 + 5y + 30 = 0\) (Opening the brackets)\(\Rightarrow\) \(18y - 12 = 0\)\(\Rightarrow\) \(18y = 12\) \(\Rightarrow\) \(y = \frac{12}{18}\)=\(\frac{2}{3}\)