$$\quad 15 ( y - 4 ) - 2 ( y - 9 ) + 5 ( y + 6 ) = 0$$
$y=\frac{2}{3}\approx 0.666666667$
$$15y-60-2\left(y-9\right)+5\left(y+6\right)=0$$
$$15y-60-2y+18+5\left(y+6\right)=0$$
$$13y-60+18+5\left(y+6\right)=0$$
$$13y-42+5\left(y+6\right)=0$$
$$13y-42+5y+30=0$$
$$18y-42+30=0$$
$$18y-12=0$$
$$18y=12$$
$$y=\frac{12}{18}$$
$$y=\frac{2}{3}$$
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