Understanding the Given Equation:
The given equation x/2 = y/3 = z/7 can be rewritten as x = 2y/3 = 7z, which implies that x is twice of y divided by 3 and x is seven times z.

Finding the Values of x, y, and z:
To find the specific values of x, y, and z, we can assign variables such as a and b to y and z, respectively. Let y = 3a and z = 7b. Then, x = 2(3a) = 6a and x = 7(7b) = 49b.

Calculating 2x - 5y + 4z/2y:
Now, we can substitute the values of x, y, and z back into the expression 2x - 5y + 4z/2y.
2x = 2(6a) = 12a
5y = 5(3a) = 15a
4z = 4(7b) = 28b
2y = 2(3a) = 6a

Therefore, 2x - 5y + 4z/2y becomes:
(12a - 15a + 28b) / 6a
= (28b - 3a) / 6a

Simplifying the Expression:
To simplify further, we can factor out a common factor from the numerator:
= 1/6 * (28b - 3a)

Conclusion:
Thus, the expression 2x - 5y + 4z/2y simplifies to 1/6 * (28b - 3a) based on the given equation x/2 = y/3 = z/7.