College

Solve the equation for [tex] y [/tex].

1. [tex] 6y = 36 + 2y [/tex]
- Subtraction property of equality: Subtract [tex] 2y [/tex] from both sides.

2. [tex] 4y = 36 [/tex]
- Division property of equality: Divide both sides by 4.

3. [tex] y = 9 [/tex]

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.

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