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2y=\frac{1}{2}+\frac{3}{5}
Add \frac{3}{5} to both sides.
2y=\frac{5}{10}+\frac{6}{10}
Least common multiple of 2 and 5 is 10. Convert \frac{1}{2} and \frac{3}{5} to fractions with denominator 10.
2y=\frac{5+6}{10}
Since \frac{5}{10} and \frac{6}{10} have the same denominator, add them by adding their numerators.
2y=\frac{11}{10}
Add 5 and 6 to get 11.
y=\frac{\frac{11}{10}}{2}
Divide both sides by 2.
y=\frac{11}{10\times 2}
Express \frac{\frac{11}{10}}{2} as a single fraction.
y=\frac{11}{20}
Multiply 10 and 2 to get 20.