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\frac{9+1}{3}\times \frac{y}{10}-\frac{1\times 8+1}{8}
Multiply 3 and 3 to get 9.
\frac{10}{3}\times \frac{y}{10}-\frac{1\times 8+1}{8}
Add 9 and 1 to get 10.
\frac{10y}{3\times 10}-\frac{1\times 8+1}{8}
Multiply \frac{10}{3} times \frac{y}{10} by multiplying numerator times numerator and denominator times denominator.
\frac{y}{3}-\frac{1\times 8+1}{8}
Cancel out 10 in both numerator and denominator.
\frac{y}{3}-\frac{8+1}{8}
Multiply 1 and 8 to get 8.
\frac{y}{3}-\frac{9}{8}
Add 8 and 1 to get 9.
\frac{8y}{24}-\frac{9\times 3}{24}
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 3 and 8 is 24. Multiply \frac{y}{3} times \frac{8}{8}. Multiply \frac{9}{8} times \frac{3}{3}.
\frac{8y-9\times 3}{24}
Since \frac{8y}{24} and \frac{9\times 3}{24} have the same denominator, subtract them by subtracting their numerators.
\frac{8y-27}{24}
Do the multiplications in 8y-9\times 3.
\frac{9+1}{3}\times \frac{y}{10}-\frac{1\times 8+1}{8}
Multiply 3 and 3 to get 9.
\frac{10}{3}\times \frac{y}{10}-\frac{1\times 8+1}{8}
Add 9 and 1 to get 10.
\frac{10y}{3\times 10}-\frac{1\times 8+1}{8}
Multiply \frac{10}{3} times \frac{y}{10} by multiplying numerator times numerator and denominator times denominator.
\frac{y}{3}-\frac{1\times 8+1}{8}
Cancel out 10 in both numerator and denominator.
\frac{y}{3}-\frac{8+1}{8}
Multiply 1 and 8 to get 8.
\frac{y}{3}-\frac{9}{8}
Add 8 and 1 to get 9.
\frac{8y}{24}-\frac{9\times 3}{24}
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 3 and 8 is 24. Multiply \frac{y}{3} times \frac{8}{8}. Multiply \frac{9}{8} times \frac{3}{3}.
\frac{8y-9\times 3}{24}
Since \frac{8y}{24} and \frac{9\times 3}{24} have the same denominator, subtract them by subtracting their numerators.
\frac{8y-27}{24}
Do the multiplications in 8y-9\times 3.