$$\frac{3y+4}{2-6y}=\frac{-2}{5}$$
$y=-8$
$$-5\left(3y+4\right)=\left(6y-2\right)\left(-2\right)$$
$$-15y-20=\left(6y-2\right)\left(-2\right)$$
$$-15y-20=-12y+4$$
$$-15y-20+12y=4$$
$$-3y-20=4$$
$$-3y=4+20$$
$$-3y=24$$
$$y=\frac{24}{-3}$$
$$y=-8$$
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