Question

Drag each step and justification to the correct location on the table .

Answer 1

Kindly check below

1) In this problem, let's write the steps with the proper reasons and statements.

`(2)/(3)y+15=9`

2) So this is our table below:

Statement Reason

`\begin{gathered} (2)/(3)y+15=9\:\:\:Given \\ \\ (2)/(3)y+15-15=9-15\:\:\:\:Subtraction\:Property\:of\:equality \\ \\ (2)/(3)y=-6\:\:\:\:\:\:Simplification \\ \\ (2)/(3)y*(3)/(2)=-6*(3)/(2)\:\:\:Multiplication\:Property\:of\:equality \\ \\ \\ y=-9\:\:\:Simplification \end{gathered}`

Note that all these steps aim to isolate the variable on one side, and its value on the other side. And whenever we add/multiply/divide/subtract on one side we do the same on the other one.