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1/2+6y=8y-1/2
We move all terms to the left:
1/2+6y-(8y-1/2)=0
We add all the numbers together, and all the variables
6y-(+8y-1/2)+1/2=0
We get rid of parentheses
6y-8y+1/2+1/2=0
We multiply all the terms by the denominator
6y*2-8y*2+1+1=0
We add all the numbers together, and all the variables
6y*2-8y*2+2=0
Wy multiply elements
12y-16y+2=0
We add all the numbers together, and all the variables
-4y+2=0
We move all terms containing y to the left, all other terms to the right
-4y=-2
y=-2/-4
y=1/2
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