(5y-4)/(2.4y+6)=5/3

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Solution for (5y-4)/(2.4y+6)=5/3 equation:



(5y-4)/(2.4y+6)=5/3
We move all terms to the left:
(5y-4)/(2.4y+6)-(5/3)=0
Domain of the equation: (2.4y+6)!=0
We move all terms containing y to the left, all other terms to the right
2.4y!=-6
y!=-6/2.4
y!=-2+1/2
y∈R
We add all the numbers together, and all the variables
(5y-4)/(2.4y+6)-(+5/3)=0
We get rid of parentheses
(5y-4)/(2.4y+6)-5/3=0
We calculate fractions
(15y-12)/(6y+18)+(-10y-30)/(6y+18)=0
We multiply all the terms by the denominator
(15y-12)+(-10y-30)=0
We get rid of parentheses
15y-10y-12-30=0
We add all the numbers together, and all the variables
5y-42=0
We move all terms containing y to the left, all other terms to the right
5y=42
y=42/5
y=8+2/5

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