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-\frac{8}{10}-\frac{15}{10}
Least common multiple of 5 and 2 is 10. Convert -\frac{4}{5} and \frac{3}{2} to fractions with denominator 10.
\frac{-8-15}{10}
Since -\frac{8}{10} and \frac{15}{10} have the same denominator, subtract them by subtracting their numerators.
-\frac{23}{10}
Subtract 15 from -8 to get -23.