$$\frac { 4 - y } { 4 } - \frac { 9 - 2 y } { 3 } = \frac { 1 } { 2 }$$
$y=6$
$$3\left(4-y\right)-4\left(9-2y\right)=6$$
$$12-3y-4\left(9-2y\right)=6$$
$$12-3y-36+8y=6$$
$$-24-3y+8y=6$$
$$-24+5y=6$$
$$5y=6+24$$
$$5y=30$$
$$y=\frac{30}{5}$$
$$y=6$$
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