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

1.2 + 3/10y = 8/15y +0.75

To get rid of the fractions, let's multiply every term by the least common denominator, which is 30:

30(1.2) + 30(3/10)y = 30(8/15)y + 30(0.75)

Simplify:

36 + 9y = 16y + 22.5

Now, let's isolate the variable y by bringing all terms involving y to one side of the equation:

9y - 16y = 22.5 - 36
-7y = -13.5

Now, divide both sides by -7 to solve for y:

y = -13.5 / -7
y = 1.93

Therefore, the solution to the equation is y = 1.93.