$$\frac { 7 y + 2 } { 5 } = \frac { 6 y - 5 } { 11 }$$
$y=-1$
$$11\left(7y+2\right)=5\left(6y-5\right)$$
$$77y+22=5\left(6y-5\right)$$
$$77y+22=30y-25$$
$$77y+22-30y=-25$$
$$47y+22=-25$$
$$47y=-25-22$$
$$47y=-47$$
$$y=\frac{-47}{47}$$
$$y=-1$$
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