Answer :
We start with the equation
[tex]$$6y = 36 + 2y.$$[/tex]
Step 1: Use the subtraction property of equality
Subtract [tex]$2y$[/tex] from both sides to eliminate the [tex]$y$[/tex] term on the right-hand side:
[tex]$$6y - 2y = 36 + 2y - 2y,$$[/tex]
which simplifies to
[tex]$$4y = 36.$$[/tex]
Step 2: Use the division property of equality
Divide both sides by [tex]$4$[/tex] to solve for [tex]$y$[/tex]:
[tex]$$y = \frac{36}{4} = 9.$$[/tex]
Thus, the solution is
[tex]$$y = 9.$$[/tex]
Note: The squaring property of equality is not used in this problem.
[tex]$$6y = 36 + 2y.$$[/tex]
Step 1: Use the subtraction property of equality
Subtract [tex]$2y$[/tex] from both sides to eliminate the [tex]$y$[/tex] term on the right-hand side:
[tex]$$6y - 2y = 36 + 2y - 2y,$$[/tex]
which simplifies to
[tex]$$4y = 36.$$[/tex]
Step 2: Use the division property of equality
Divide both sides by [tex]$4$[/tex] to solve for [tex]$y$[/tex]:
[tex]$$y = \frac{36}{4} = 9.$$[/tex]
Thus, the solution is
[tex]$$y = 9.$$[/tex]
Note: The squaring property of equality is not used in this problem.