Verified Answer :

Lets do this.
\(\frac{1}{2} *x-y=4\)   /-\(\frac{1}{2}x\)
-y=\(- \frac{1}{2}x+4\)       /*(-1)    
y=\(\frac{1}{2}x-4\)    - its the result

2y=x+6     /:2   (divide both sides by2 )
y=\(\frac{1}{2} x+3\) - its the result

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