[tex] - 6y + 19 = 1 + 5 + 7y[/tex]
Ok so first, let's combine the like terms on the right side by adding them
[tex]1 + 5 + 7y \\ = 6 + 7y[/tex]
Now we look at them put back together
[tex] - 6y + 19 = 6 + 7y[/tex]
Now you have to move all your y's to one side and numbers without a variable to the other. So, for this we're going to add 6y to 7y on the right so the left side cancels out.
[tex]19 = 6 + 13y[/tex]
On the other side we subtract 6 from 19
[tex]13 = 13y \\ 13y = 13[/tex]
and now to get the answer for y we divide 13 by 13 to get your answer of 1 :)
[tex]y = 1[/tex]
