3/5(10+15y)+7=-2/3(12-24y)

Solution for 3/5(10+15y)+7=-2/3(12-24y) equation:

3/5(10+15y)+7=-2/3(12-24y)

We move all terms to the left:

3/5(10+15y)+7-(-2/3(12-24y))=0


Domain of the equation: 5(10+15y)!=0

y∈R



Domain of the equation: 3(12-24y))!=0

y∈R


We add all the numbers together, and all the variables

3/5(15y+10)-(-2/3(-24y+12))+7=0

We calculate fractions


(9y(-)/(5(15y+10)*3(-24y+12)))+(-(-10y1)/(5(15y+10)*3(-24y+12)))+7=0


We calculate terms in parentheses: +(9y(-)/(5(15y+10)*3(-24y+12))), so:

9y(-)/(5(15y+10)*3(-24y+12))

We add all the numbers together, and all the variables

9y0/(5(15y+10)*3(-24y+12))

We multiply all the terms by the denominator


9y0

We add all the numbers together, and all the variables

9y

Back to the equation:

+(9y)



We calculate terms in parentheses: +(-(-10y1)/(5(15y+10)*3(-24y+12))), so:

-(-10y1)/(5(15y+10)*3(-24y+12))

We add all the numbers together, and all the variables

-(-10y)/(5(15y+10)*3(-24y+12))

We multiply all the terms by the denominator


-(-10y)

We get rid of parentheses

10y

Back to the equation:

+(10y)


We add all the numbers together, and all the variables

19y+7=0

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

19y=-7

y=-7/19

y=-7/19