$(-\dfrac{2}{3}+\dfrac{1}{2}):\dfrac{7}{4}+\dfrac{1}{14}.\dfrac{-2}{3}$
$=(-\dfrac{4}{6}+\dfrac{3}{6}).\dfrac{4}{7}-\dfrac{1}{21}$
$=\dfrac{-1}{6}.\dfrac{4}{7}-\dfrac{1}{21}$
$=-\dfrac{2}{21}-\dfrac{1}{21}$
$=\dfrac{-2-1}{21}$
$=\dfrac{-3}{21}=\dfrac{-3:3}{21:3}=\dfrac{-1}{7}$