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-\frac{1}{7}y-2>10
Swap sides so that all variable terms are on the left hand side. This changes the sign direction.
-\frac{1}{7}y>10+2
Add 2 to both sides.
-\frac{1}{7}y>12
Add 10 and 2 to get 12.
y<12\left(-7\right)
Multiply both sides by -7, the reciprocal of -\frac{1}{7}. Since -\frac{1}{7} is negative, the inequality direction is changed.
y<-84
Multiply 12 and -7 to get -84.