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y-(4-3y)/2y-(3+4y)=1/5
We move all terms to the left:
y-(4-3y)/2y-(3+4y)-(1/5)=0
Domain of the equation: 2y!=0We add all the numbers together, and all the variables
y!=0/2
y!=0
y∈R
y-(-3y+4)/2y-(4y+3)-(+1/5)=0
We get rid of parentheses
y-(-3y+4)/2y-4y-3-1/5=0
We calculate fractions
y-4y+(15y-20)/10y+(-2y)/10y-3=0
We add all the numbers together, and all the variables
-3y+(15y-20)/10y+(-2y)/10y-3=0
We multiply all the terms by the denominator
-3y*10y+(15y-20)+(-2y)-3*10y=0
Wy multiply elements
-30y^2+(15y-20)+(-2y)-30y=0
We get rid of parentheses
-30y^2+15y-2y-30y-20=0
We add all the numbers together, and all the variables
-30y^2-17y-20=0
a = -30; b = -17; c = -20;
Δ = b2-4ac
Δ = -172-4·(-30)·(-20)
Δ = -2111
Delta is less than zero, so there is no solution for the equation
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