Before we can solve the given equation, we need to isolate the absolute value expression using the Properties of Equality.
3|3y+2|=18 ⇒ |3y+2|=6
An absolute value measures an expression's distance from a midpoint on a number line.
|3y+2|=6
In this case, since 3y+2 can be written as 3y-(-2), it means that the distance between 3y and -2 is 6, either in the positive direction or the negative direction.
|3y+2|=6 ⇒ l3y+2= 6 3y+2= - 6
To find the solutions to the absolute value equation, we need to solve both of these cases for y.
