$$\frac { 6 ( y - 2 ) } { 7 } - 12 = \frac { 2 ( y - 7 ) } { 3 }$$
$y = \frac{95}{2} = 47\frac{1}{2} = 47.5$
$$3\times 6\left(y-2\right)-252=7\times 2\left(y-7\right)$$
$$18\left(y-2\right)-252=7\times 2\left(y-7\right)$$
$$18y-36-252=7\times 2\left(y-7\right)$$
$$18y-288=7\times 2\left(y-7\right)$$
$$18y-288=14\left(y-7\right)$$
$$18y-288=14y-98$$
$$18y-288-14y=-98$$
$$4y-288=-98$$
$$4y=-98+288$$
$$4y=190$$
$$y=\frac{190}{4}$$
$$y=\frac{95}{2}$$
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