What is the process for finding 2y = x + 2 in an inverse function?

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gede
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Please take a look in below image. How do they get 2y = x + 2?
upload_2016-5-31_16-54-20.png
 
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They simply multiply every term by 2.
2 * y -> 2y
2 * ##\frac12## x -> x
2 * 1 -> 2