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3-1/2y=3/2y-5
We move all terms to the left:
3-1/2y-(3/2y-5)=0
Domain of the equation: 2y!=0
y!=0/2
y!=0
y∈R
Domain of the equation: 2y-5)!=0We get rid of parentheses
y∈R
-1/2y-3/2y+5+3=0
We multiply all the terms by the denominator
5*2y+3*2y-1-3=0
We add all the numbers together, and all the variables
5*2y+3*2y-4=0
Wy multiply elements
10y+6y-4=0
We add all the numbers together, and all the variables
16y-4=0
We move all terms containing y to the left, all other terms to the right
16y=4
y=4/16
y=1/4
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