Answer :

We start with the equation:
[tex]$$6y + 159 = 16 + 19y.$$[/tex]

Step 1: Isolate the variable terms.
Subtract [tex]$6y$[/tex] from both sides to get:
[tex]$$159 = 16 + 19y - 6y,$$[/tex]
which simplifies to:
[tex]$$159 = 16 + 13y.$$[/tex]

Step 2: Isolate the [tex]$y$[/tex] term.
Subtract [tex]$16$[/tex] from both sides:
[tex]$$159 - 16 = 13y,$$[/tex]
so that:
[tex]$$143 = 13y.$$[/tex]

Step 3: Solve for [tex]$y$[/tex].
Divide both sides by [tex]$13$[/tex]:
[tex]$$y = \frac{143}{13} = 11.$$[/tex]

Thus, the solution to the equation is:
[tex]$$\boxed{11}.$$[/tex]

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