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\frac{4\left(2x-3y\right)}{12}-\frac{3\left(3x-y\right)}{12}
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 3 and 4 is 12. Multiply \frac{2x-3y}{3} times \frac{4}{4}. Multiply \frac{3x-y}{4} times \frac{3}{3}.
\frac{4\left(2x-3y\right)-3\left(3x-y\right)}{12}
Since \frac{4\left(2x-3y\right)}{12} and \frac{3\left(3x-y\right)}{12} have the same denominator, subtract them by subtracting their numerators.
\frac{8x-12y-9x+3y}{12}
Do the multiplications in 4\left(2x-3y\right)-3\left(3x-y\right).
\frac{-x-9y}{12}
Combine like terms in 8x-12y-9x+3y.
\frac{4\left(2x-3y\right)}{12}-\frac{3\left(3x-y\right)}{12}
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 3 and 4 is 12. Multiply \frac{2x-3y}{3} times \frac{4}{4}. Multiply \frac{3x-y}{4} times \frac{3}{3}.
\frac{4\left(2x-3y\right)-3\left(3x-y\right)}{12}
Since \frac{4\left(2x-3y\right)}{12} and \frac{3\left(3x-y\right)}{12} have the same denominator, subtract them by subtracting their numerators.
\frac{8x-12y-9x+3y}{12}
Do the multiplications in 4\left(2x-3y\right)-3\left(3x-y\right).
\frac{-x-9y}{12}
Combine like terms in 8x-12y-9x+3y.