To solve this equation, we need to distribute the coefficients and then combine like terms.

First, distribute the coefficients:
(2/7)У - 14/7 - (3/4)У + 6 = 17

Next, combine like terms:
(2/7)У - (3/4)У = (8/28)У - (21/28)У
-14/7 + 6 = -8/28 + 21/28

Now we have:
(8/28)У - (21/28)У = 17 + 14/7 - 6
-13/28 У = 19

Finally, divide by -13/28 to solve for У:
У = 19 / (-13/28)
У = 19 * (-28/13)
У = -41.6923

Thus, the solution to the equation is У ≈ -41.6923.