Solve the equation if possible 23y 7 9 5 Solve the equati

Solution

We have -2|3y + 7| + 9 = 5. On adding -9 to both the sides, we get -2|3y + 7| + 9 -9 = 5-9 or, -2|3y + 7| = -4 so that |3y + 7| = -4/-2 = 2. Then either 3y+7 = 2 , in which case, 3y = 2-7 = -5 so that y = -5/3, OR 3y+7 = - 2 , in which case, 3y = -2-7 = -9 so that y =-3. Thus, y = -5/3 or, y = -3.