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-6y+17\leq 35
Swap sides so that all variable terms are on the left hand side. This changes the sign direction.
-6y\leq 35-17
Subtract 17 from both sides.
-6y\leq 18
Subtract 17 from 35 to get 18.
y\geq \frac{18}{-6}
Divide both sides by -6. Since -6 is negative, the inequality direction is changed.
y\geq -3
Divide 18 by -6 to get -3.