To solve for y, we need to isolate the variable y on one side of the equation.

First, let's simplify the equation by combining like terms:

1.09 + 5.8y = 38.29 + 15.1y

Subtract 1.09 from both sides:

5.8y = 37.20 + 15.1y

Subtract 15.1y from both sides:

5.8y - 15.1y = 37.20

Combine like terms:

-9.3y = 37.20

Now, divide both sides by -9.3 to solve for y:

y = 37.20 / -9.3
y = -4

Therefore, the solution for y is -4.