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Answer:
 y = 1  and  y = 5
Step-by-step explanation:
When rewriting the absolute value equation as two different equations, I like to keep the coefficient of the variable positive. Here, that means writing it as ...
 y -3 = ±2
Then adding 3 gives ...
 y = 3 ± 2 = {1, 5}
The solutions are y = 1 and y = 5.
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Finishing up your solution method, we have ...
2. Solving the first equation, we get y -3 = 2  ⇒  y = 2+3 = 5
3. Solving the second equation, we get -y +3 = 2  ⇒  -y = -1  ⇒  y = 1
The solutions are ...
