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y=\frac{-\frac{6}{15}+\frac{10}{15}}{2}
Least common multiple of 5 and 3 is 15. Convert -\frac{2}{5} and \frac{2}{3} to fractions with denominator 15.
y=\frac{\frac{-6+10}{15}}{2}
Since -\frac{6}{15} and \frac{10}{15} have the same denominator, add them by adding their numerators.
y=\frac{\frac{4}{15}}{2}
Add -6 and 10 to get 4.
y=\frac{4}{15\times 2}
Express \frac{\frac{4}{15}}{2} as a single fraction.
y=\frac{4}{30}
Multiply 15 and 2 to get 30.
y=\frac{2}{15}
Reduce the fraction \frac{4}{30} to lowest terms by extracting and canceling out 2.