SOLUTION: Please help me solve this equation. Solve for all values of yy in simplest form. open vertical bar, y, minus, 12, close vertical bar, equals, 16 ∣y−12∣= 16

Question 1204695: Please help me solve this equation.
Solve for all values of yy in simplest form.
open vertical bar, y, minus, 12, close vertical bar, equals, 16
∣y−12∣=
16
Found 2 solutions by mananth, greenestamps:
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
|y-12|=16
Either y-12=16--------------1
OR
y-12=-16---------------------2
y-12=16
y =12+16=28
y-12=-16
y=12-16= -4
y=28 or y=-4
Answer by greenestamps(13203) (Show Source): You can put this solution on YOUR website!

Using formal algebra and the standard method for working the problem....

OR
OR

ANSWERS: y=28 and y=-4

In many problems involving absolute value, the work can be done informally, using the concept that "" means the distance between y and 12 is 16. That gives us, quickly,

ANSWERS: 12+16 = 28 and 12-16 = -4

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