y-(7-8y)/9y-(3+4y)=2/3

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Solution for y-(7-8y)/9y-(3+4y)=2/3 equation:



y-(7-8y)/9y-(3+4y)=2/3
We move all terms to the left:
y-(7-8y)/9y-(3+4y)-(2/3)=0
Domain of the equation: 9y!=0
y!=0/9
y!=0
y∈R
We add all the numbers together, and all the variables
y-(-8y+7)/9y-(4y+3)-(+2/3)=0
We get rid of parentheses
y-(-8y+7)/9y-4y-3-2/3=0
We calculate fractions
y-4y+(24y-21)/27y+(-18y)/27y-3=0
We add all the numbers together, and all the variables
-3y+(24y-21)/27y+(-18y)/27y-3=0
We multiply all the terms by the denominator
-3y*27y+(24y-21)+(-18y)-3*27y=0
Wy multiply elements
-81y^2+(24y-21)+(-18y)-81y=0
We get rid of parentheses
-81y^2+24y-18y-81y-21=0
We add all the numbers together, and all the variables
-81y^2-75y-21=0
a = -81; b = -75; c = -21;
Δ = b2-4ac
Δ = -752-4·(-81)·(-21)
Δ = -1179
Delta is less than zero, so there is no solution for the equation

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