\(\dfrac{15}{37}\left(\dfrac{38}{41}-\dfrac{74}{35}\right)-\dfrac{38}{41}\left(\dfrac{15}{37}+\dfrac{82}{76}\right)\)
\(=\dfrac{15}{37}\cdot\dfrac{38}{41}-\dfrac{15}{37}\cdot\dfrac{74}{35}-\dfrac{38}{41}\cdot\dfrac{15}{37}-\dfrac{34}{41}\cdot\dfrac{41}{38}\)
\(=-\dfrac{15}{37}\cdot\dfrac{74}{35}-\dfrac{34}{41}\cdot\dfrac{41}{38}\)
\(=-\dfrac{3}{7}\cdot2-\dfrac{17}{19}=\dfrac{-6}{7}-\dfrac{17}{19}=\dfrac{-233}{133}\)