Answer
$-\frac{1}{4}x+\frac{1}{6}y$
Work Step by Step
To combine like terms, add the coefficients.
$\frac{1}{2}x-\frac{2}{3}y-\frac{3}{4}x+\frac{5}{6}y=(\frac{1}{2}-\frac{3}{4})x+((-\frac{2}{3})+\frac{5}{6})y=(\frac{2}{4}-\frac{3}{4})x+((-\frac{4}{6})+\frac{5}{6})y=-\frac{1}{4}x+\frac{1}{6}y$
