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-6y+10\geq -2
Swap sides so that all variable terms are on the left hand side. This changes the sign direction.
-6y\geq -2-10
Subtract 10 from both sides.
-6y\geq -12
Subtract 10 from -2 to get -12.
y\leq \frac{-12}{-6}
Divide both sides by -6. Since -6 is negative, the inequality direction is changed.
y\leq 2
Divide -12 by -6 to get 2.