#### Answer

y=1 1/3 OR y=−2 2/3

#### Work Step by Step

3|3y+2|=18⟶ divide each side by 3
3|3y+2|÷3=18÷3⟶ divide
|3y+2|=6⟶ definition of absolute value
3y+2=6 OR 3y+2=−6⟶ subtract 2 from all parts
3y+2−2=6−2 OR 3y+2−2=−6−2⟶ subtract
3y=4 OR 3y=−8⟶ divide all parts by 3
3y÷3=4÷3 OR 3y÷3=−8÷3⟶ divide
y=1 1/3 OR y=−2 2/3