Final answer:
The value of 6(4x - 2y) is -180x + 18.
Step-by-step explanation:
Given the equation -34x - 2y = -3, we can solve for y in terms of x. Rearranging the equation, we have:
y = (-3 + 34x) / -2
To find the value of 6(4x - 2y), we substitute the value of y into the expression:
6(4x - 2y) = 6(4x - 2((-3 + 34x) / -2))
Simplifying this expression gives us:
6(4x - 2((-3 + 34x) / -2)) = 6(4x + 3 - 34x) = 6(-30x + 3) = -180x + 18
Therefore, the value of 6(4x - 2y) is -180x + 18.