(0.4y-3)/1.5y+9=-7/5

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Solution for (0.4y-3)/1.5y+9=-7/5 equation: 



(0.4y-3)/1.5y+9=-7/5

We move all terms to the left:

(0.4y-3)/1.5y+9-(-7/5)=0



Domain of the equation: 1.5y!=0

y!=0/1.5

y!=0

y∈R



We get rid of parentheses

(0.4y-3)/1.5y+9+7/5=0

We calculate fractions


(y-15)/(1.5y*5)+7y/(1.5y*5)+9=0

We add all the numbers together, and all the variables

(y-15)/(+1.5y*5)+7y/(+1.5y*5)+9=0

We multiply all the terms by the denominator


(y-15)+7y+9*(+1.5y*5)=0

We add all the numbers together, and all the variables

7y+(y-15)+9*(+1.5y*5)=0

We multiply parentheses

7y+(y-15)+45y=0

We get rid of parentheses

7y+y+45y-15=0

We add all the numbers together, and all the variables

53y-15=0

We move all terms containing y to the left, all other terms to the right

53y=15

y=15/53

y=15/53

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