SOLUTION: Solve for Y |y+3|-4=7

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Question 68878: Solve for Y
|y+3|-4=7
Answer by rmromero(383) About Me  (Show Source):
You can put this solution on YOUR website!
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


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

 
Checking:

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


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


 The Solution set is {8, -14}