What is the solution to y in the inequality 4 (x+y) - 10≥x+6y-4

y ≤ 3/2 x - 3.

Step-by-step explanation:

4 (x + y) - 10 ≥ x + 6y - 4

4x + 4y - 10 ≥ x + 6y - 4

4y - 6y ≥ x - 4x - 4 + 10

-2y ≥ - 3x + 6

y ≤ 3/2 x - 3. (Note the inequality sign is reversed because we are dividing by a negative value)).