Answer:
y<−23/6 or y> 37/6
Explanation:
Solve Absolute Value. 
|−6y+7|>30 
We know either−6y+7>30or−6y+7<−30 
−6y+7>30(Possibility 1) 
−6y+7−7>30−7(Subtract 7 from both sides) 
−6y>23 
−6y /−6 > 23/−6 
(Divide both sides by -6) 
y<−23/6
−6y+7<−30(Possibility 2) 
−6y+7−7<−30−7(Subtract 7 from both sides) 
−6y<−37
−6y/−6< −37/−6
(Divide both sides by -6) 
y> 37/6
Therefore the answer is 
y<−23/6 or y> 37/6
I hope this helped you.