$$\frac{2y-1}{5}-\frac{y+3}{7}=0$$
$y = \frac{22}{9} = 2\frac{4}{9} \approx 2.444444444$
$$7\left(2y-1\right)-5\left(y+3\right)=0$$
$$14y-7-5\left(y+3\right)=0$$
$$14y-7-5y-15=0$$
$$9y-7-15=0$$
$$9y-22=0$$
$$9y=22$$
$$y=\frac{22}{9}$$
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