Given:
14 - 4y ≥ 38
We are to solve for y.
14 - 4y ≥ 38
Let's subtract 14 from both sides:
14 - 4y - 14 ≥ 38 - 14
-4y ≥ 24
Multiply both sides by -1 (reverse the inequality):
(-4y)(-1) ≤ (24)(-1)
4y ≤ -24
Divide both sides by 4
4y/4 ≤ -24/4
y ≤ -24/4
y ≤ -6
Therfore, the correct option is the second which is y ≤ -6.