$$L=\frac{\frac{2}{3}-\frac{5}{7}}{\frac{1}{6}}-\frac{2}{5}$$
$L=-\frac{24}{35}\approx -0.685714286$
$$L=\frac{\frac{14}{21}-\frac{15}{21}}{\frac{1}{6}}-\frac{2}{5}$$
$$L=\frac{\frac{14-15}{21}}{\frac{1}{6}}-\frac{2}{5}$$
$$L=\frac{-\frac{1}{21}}{\frac{1}{6}}-\frac{2}{5}$$
$$L=-\frac{1}{21}\times 6-\frac{2}{5}$$
$$L=\frac{-6}{21}-\frac{2}{5}$$
$$L=-\frac{2}{7}-\frac{2}{5}$$
$$L=-\frac{10}{35}-\frac{14}{35}$$
$$L=\frac{-10-14}{35}$$
$$L=-\frac{24}{35}$$
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$L≔-\frac{24}{35}$