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

User Iamjonesy
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1 Answer

2 votes

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}

User Xochilt
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