what the answer to this 3 - 5y ≥ 19 - 3y?

3 - 5y ≥ 19 - 3y
-5y+3y ≥19-3
-2y ≥16
y≤-8

- 16 ≥ 2 y

y ≤ - 8

3 - 5y ≥ 19 - 3y

- 5y + 3y ≥ 19 - 3

-2y ≥ 16

.......16
y ≤ --------
.......-2

y ≤ -8

y ≤ -8

you act as if the > is an = sign and do the same steps
3 - 5y ≥ 19 - 3y
subtract -5y from both sides
3 ≥ 19 + 2y
subtract 19 from both sides
-16 ≥ 2y
divide by 2
-8 ≥ y

3 - 5y ≥ 19 - 3y
3y - 5y ≥ 19 - 3
-2y ≥ 16
y ≤ 16/(-2)
y ≤ -8

-y ≥ 8

5y + 3y ≥ 19 - 3
8y ≥ 16
y ≥ 2
y = {2, 3, 4, ....}
S = {2, 3, 4,.....}

3 - 5y ≥ 19 - 3y
-2y ≥ 16
-8≥ y

re-arrange as usual . . .but reverse the inequality sign