Given that x = 6 and y = 3, we need to find the value of the expression:

(2xy + 7y - 10) / (4xy - 3x - 2)

First, let's substitute the values of x and y into the expression:

Numerator: 2xy + 7y - 10 = 2 * 6 * 3 + 7 * 3 - 10

2 * 6 * 3 = 36

7 * 3 = 21

So, the numerator becomes: 36 + 21 - 10 = 57 - 10 = 47

Denominator: 4xy - 3x - 2 = 4 * 6 * 3 - 3 * 6 - 2

4 * 6 * 3 = 72

3 * 6 = 18

So, the denominator becomes: 72 - 18 - 2 = 54 - 2 = 52

Therefore, the expression becomes: 47 / 52

So, the value of the expression is 47/52.