Kindly check below
1) In this problem, let's write the steps with the proper reasons and statements.
[tex]\frac{2}{3}y+15=9[/tex]
2) So this is our table below:
Statement Reason
[tex]\begin{gathered} \frac{2}{3}y+15=9\:\:\:Given \\ \\ \frac{2}{3}y+15-15=9-15\:\:\:\:Subtraction\:Property\:of\:equality \\ \\ \frac{2}{3}y=-6\:\:\:\:\:\:Simplification \\ \\ \frac{2}{3}y\times\frac{3}{2}=-6\times\frac{3}{2}\:\:\:Multiplication\:Property\:of\:equality \\ \\ \\ y=-9\:\:\:Simplification \end{gathered}[/tex]
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.
