For each step, chose the reason that best justifies it?

SOLUTION
Write out the equation
[tex]\frac{y-7}{2}=-11[/tex]The first step in solving this equation is to multiply both sides by 2 this is called
MULTIPLICATION PROPERTY OF EQUALITY
Step1; MUltiply both sides by 2
[tex]\begin{gathered} 2\times\frac{y-7}{2}=-11\times2 \\ \text{Then},\text{ simpliying we have } \\ y-7=-22 \end{gathered}[/tex]The next step in solving this equation is to add 7 to both sides of
the equation this is called ADDITION PROPERTY OF EQUALITY
step2: Add 7 to both sides of the equation
[tex]\begin{gathered} y-7+7=-22+7 \\ \text{simplify we have } \\ y=-15 \end{gathered}[/tex]Hence the solution to the equation is y=-15
The steps are
Step1; MULTIPLICATION PROPERTY OF EQUALITY
Step2: SIMPLIFYING
Step3: ADDITION PROPERTY OF EQUALITY
Step4: SIMPLIFYING