[tex]5 - y = 8 - \frac{1}{3} (4.5y - 5)[/tex]

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To solve for y, we can start by simplifying the equation:

[tex]5 - y = 8 - \frac{1}{3} (4.5y - 5)[/tex]
[tex]5 - y = 8 - \frac{1}{3} \cdot 4.5y + \frac{1}{3} \cdot 5[/tex]
[tex]5 - y = 8 - 1.5y + 1.6667[/tex]
[tex]5 - y = 9.6667 - 1.5y[/tex]

Next, we can simplify further by moving all terms involving y to one side:

[tex]5 + 1.5y - y = 9.6667[/tex]
[tex]5 + 0.5y = 9.6667[/tex]
[tex]0.5y = 4.6667[/tex]
[tex]y = \frac{4.6667}{0.5}[/tex]
[tex]y = 9.3333[/tex]

Therefore, the solution to the equation is y = 9.3333.