$$5 ( 5 y - 7 ) - 3 ( 9 y - 11 ) = 7 ( 8 y - 13 ) - 17$$
$y = \frac{53}{29} = 1\frac{24}{29} \approx 1.827586207$
$$25y-35-3\left(9y-11\right)=7\left(8y-13\right)-17$$
$$25y-35-27y+33=7\left(8y-13\right)-17$$
$$-2y-35+33=7\left(8y-13\right)-17$$
$$-2y-2=7\left(8y-13\right)-17$$
$$-2y-2=56y-91-17$$
$$-2y-2=56y-108$$
$$-2y-2-56y=-108$$
$$-58y-2=-108$$
$$-58y=-108+2$$
$$-58y=-106$$
$$y=\frac{-106}{-58}$$
$$y=\frac{53}{29}$$
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