Question

Solve for y, -2/5 y +2 = -1/5y - 4/3

Answer 1

Given

`-(2)/(5)y+2=-(1)/(5)y-(4)/(3)`

The objective is to solve for y, that is, isolate the y-term in one side of the expression.

The first step is to pass "-1/5y" to the left side of the expression by applying the inverse operation

`\begin{gathered} -(2)/(5)y+(1)/(5)y+2=-(1)/(5)y+(1)/(5)y-(4)/(3) \\ -(1)/(5)y+2=-(4)/(3) \end{gathered}`

Next pass "+2" to the right side of the expression

`\begin{gathered} -(1)/(5)y+2-2=-(4)/(3)-2 \\ -(1)/(5)y=-(10)/(3) \end{gathered}`

Finally multiply both sides by -5

`\begin{gathered} (-(1)/(5)y)\cdot(-5)=(-(10)/(3))-(-5) \\ y=(50)/(3) \end{gathered}`