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\frac{1}{12}x+\frac{1}{5}y-\frac{1}{10}y
Combine \frac{1}{4}x and -\frac{1}{6}x to get \frac{1}{12}x.
\frac{1}{12}x+\frac{1}{10}y
Combine \frac{1}{5}y and -\frac{1}{10}y to get \frac{1}{10}y.
\frac{15x+12y-10x-6y}{60}
Factor out \frac{1}{60}.
5x+6y
Consider 15x+12y-10x-6y. Multiply and combine like terms.
\frac{5x+6y}{60}
Rewrite the complete factored expression.