Реши уравнение: 5/6*y-3/4*y+1=2/3*y-1/6.

Ответ:

\[\frac{5}{6}y - \frac{3}{4}y + 1 = \frac{2}{3}y - \frac{1}{6}\]

\[\frac{5}{6}y - \frac{3}{4}y - \frac{2}{3}y = - \frac{1}{6} - 1^{\backslash 6}\]

\[y\left( \frac{5^{\backslash 2}}{6} - \frac{3^{\backslash 3}}{4} - \frac{2^{\backslash 4}}{3} \right) = \frac{- 1 - 6}{6}\]

\[y\left( \frac{10 - 9 - 8}{12} \right) = - \frac{7}{6}\]

\[- \frac{7}{12}y = - \frac{7}{6}\]

\[y = \frac{7}{6} \cdot \frac{12}{7}\]

\[y = \frac{12}{6}\]

\[y = 2.\]