Question 68878
<pre>To solve an equation with absolute value,
1. Simplify. Combine like terms.Add 4 both sides.
|y+3|-4 +4 = 7+4
|y+3| = 11
<br>
2. Write a disjunction, then solve the two resulting equations.
y + 3 = 11           or      y + 3 = -11
y + 3 - 3 = 11 - 3   or      y + 3 - 3= -11 - 3
y = 8                or      y = -14
<br> 
Checking:

|y+3|-4=7, y = 8
|8+3|-4 = 7
|11|-4 = 7
11-4 = 7
7=7 --->True
<br>
|y+3|-4=7, y = -14
|-14+3|-4=7
|-11|-4 = 7
11-4=7
7=7 --->> True

<br> The Solution set is {8, -14}</pre>