To solve for у, we need to first simplify the equation by combining like terms.

5/12 у + 1.3 = 0.53 + 7/8 у

First, let's write the whole numbers as fractions:
5/12 у + 13/10 = 53/100 + 7/8 у

Now, let's get rid of the fractions by multiplying the entire equation by the least common denominator, which is 24.

24(5/12 у) + 24(13/10) = 24(53/100) + 24(7/8 у)

This gives us:
10у + 31.2 = 12.72 + 21у

Next, we can rearrange the equation to isolate у on one side:

10у - 21у = 12.72 - 31.2

This simplifies to:

-11у = -18.48

Finally, we can solve for у by dividing both sides by -11:

у = -18.48 / -11
у ≈ 1.680

Therefore, у is approximately 1.680.