Since we want to solve for the variable y, we want to isolate it.
y/(-5) + 6 ≤ 2 ⇒ Subtract 6 from both sides
y/(-5) ≤ -4 ⇒ Multiply both sides by -5. When multiplying or dividing by a negative number in an inequality, we want to flip the sign.
y ≥ -4 · -5
y ≥ 20
