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\frac{1}{5}x+\frac{2}{7}y-\frac{3}{10}y+\frac{1}{2}x
Combine -\frac{2}{5}x and \frac{3}{5}x to get \frac{1}{5}x.
\frac{1}{5}x-\frac{1}{70}y+\frac{1}{2}x
Combine \frac{2}{7}y and -\frac{3}{10}y to get -\frac{1}{70}y.
\frac{7}{10}x-\frac{1}{70}y
Combine \frac{1}{5}x and \frac{1}{2}x to get \frac{7}{10}x.
\frac{-28x+20y+42x-21y+35x}{70}
Factor out \frac{1}{70}.
49x-y
Consider -28x+20y+42x-21y+35x. Multiply and combine like terms.
\frac{49x-y}{70}
Rewrite the complete factored expression.