Use the given transformation to evaluate the integral.

$(16$x $+8$y$)$ dAR

$,$

where R is the parallelogram with vertices

$(3,9),$

$(3,9),$

$(6,6),$

and

$(0,12)$

;

x $=$

$14$

$($u $+$ v$),$ y $=$

$14$

$($v $3$u$)$