(4y-2)/(7-5y)=-3/7

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Solution for (4y-2)/(7-5y)=-3/7 equation:



(4y-2)/(7-5y)=-3/7
We move all terms to the left:
(4y-2)/(7-5y)-(-3/7)=0
Domain of the equation: (7-5y)!=0
We move all terms containing y to the left, all other terms to the right
-5y!=-7
y!=-7/-5
y!=1+2/5
y∈R
We add all the numbers together, and all the variables
(4y-2)/(-5y+7)-(-3/7)=0
We get rid of parentheses
(4y-2)/(-5y+7)+3/7=0
We calculate fractions
(28y-14)/(-35y+49)+(-15y+21)/(-35y+49)=0
We multiply all the terms by the denominator
(28y-14)+(-15y+21)=0
We get rid of parentheses
28y-15y-14+21=0
We add all the numbers together, and all the variables
13y+7=0
We move all terms containing y to the left, all other terms to the right
13y=-7
y=-7/13
y=-7/13

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