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y-(4-3y)/2y-(3y+4y)=1/5
We move all terms to the left:
y-(4-3y)/2y-(3y+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-(+7y)-(+1/5)=0
We get rid of parentheses
y-(-3y+4)/2y-7y-1/5=0
We calculate fractions
y-7y+(15y-20)/10y+(-2y)/10y=0
We add all the numbers together, and all the variables
-6y+(15y-20)/10y+(-2y)/10y=0
We multiply all the terms by the denominator
-6y*10y+(15y-20)+(-2y)=0
Wy multiply elements
-60y^2+(15y-20)+(-2y)=0
We get rid of parentheses
-60y^2+15y-2y-20=0
We add all the numbers together, and all the variables
-60y^2+13y-20=0
a = -60; b = 13; c = -20;
Δ = b2-4ac
Δ = 132-4·(-60)·(-20)
Δ = -4631
Delta is less than zero, so there is no solution for the equation
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