SOLUTION: |y-5|-2=10 having trouble please show me step by step trying to understand how to do it thank you!

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Question 25380: |y-5|-2=10 having trouble please show me step by step trying to understand how to do it thank you!
Found 2 solutions by rapaljer, stanbon:
Answer by rapaljer(4671) About Me  (Show Source):
You can put this solution on YOUR website!
This is like the last one we did, but you have a -2 on the left side. To simplify this, just add +2 to each side, and you will get abs%28y-5%29+=+12.

For this there will be two solutions:

First solution:
y-5 = 12
y-5+5 = 12+5
y= 17

Second solution:
y-5 = -12
y -5+5 = -12 +5
y = -7

Check by substiting back into the original equation. They both work!

R^2 at SCC

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
|y-5|=12
Therefore y-5=12 or y-5=-12
And y=17 or y=-7
Cheers,
Stan H.