4/(y+2)=10/5y

Solution for 4/(y+2)=10/5y equation:

4/(y+2)=10/5y

We move all terms to the left:

4/(y+2)-(10/5y)=0


Domain of the equation: (y+2)!=0

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

y!=-2

y∈R



Domain of the equation: 5y)!=0

y!=0/1

y!=0

y∈R


We add all the numbers together, and all the variables

4/(y+2)-(+10/5y)=0

We get rid of parentheses

4/(y+2)-10/5y=0

We calculate fractions


20y/(5y^2+10y)+(-10y-20)/(5y^2+10y)=0

We multiply all the terms by the denominator


20y+(-10y-20)=0

We get rid of parentheses

20y-10y-20=0

We add all the numbers together, and all the variables

10y-20=0

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

10y=20

y=20/10

y=2