$$\frac { 4 ( y + 2 ) } { 5 } = 7 + \frac { 5 y } { 13 }$$
$y=13$
$$13\times 4\left(y+2\right)=455+5\times 5y$$
$$52\left(y+2\right)=455+5\times 5y$$
$$52y+104=455+5\times 5y$$
$$52y+104=455+25y$$
$$52y+104-25y=455$$
$$27y+104=455$$
$$27y=455-104$$
$$27y=351$$
$$y=\frac{351}{27}$$
$$y=13$$
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