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1/2y-3=3/2y+4
We move all terms to the left:
1/2y-3-(3/2y+4)=0
Domain of the equation: 2y!=0
y!=0/2
y!=0
y∈R
Domain of the equation: 2y+4)!=0We get rid of parentheses
y∈R
1/2y-3/2y-4-3=0
We multiply all the terms by the denominator
-4*2y-3*2y+1-3=0
We add all the numbers together, and all the variables
-4*2y-3*2y-2=0
Wy multiply elements
-8y-6y-2=0
We add all the numbers together, and all the variables
-14y-2=0
We move all terms containing y to the left, all other terms to the right
-14y=2
y=2/-14
y=-1/7
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