$$\frac{ 1 }{ 2y } - \frac{ 1 }{ 6 } = \frac{ 1 }{ 4y } -1- \frac{ 1 }{ y }$$
$y = -\frac{3}{2} = -1\frac{1}{2} = -1.5$
$$6+12y\left(-\frac{1}{6}\right)=3+12y\left(-1\right)-12$$
$$6-2y=3+12y\left(-1\right)-12$$
$$6-2y=3-12y-12$$
$$6-2y=-9-12y$$
$$6-2y+12y=-9$$
$$6+10y=-9$$
$$10y=-9-6$$
$$10y=-15$$
$$y=\frac{-15}{10}$$
$$y=-\frac{3}{2}$$
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