To solve the first equation:

4.72 - 2.5x = 2x + 2.92

First, combine like terms:

4.72 - 2.92 = 2.5x + 2x
1.8 = 4.5x

Next, divide by 4.5 to solve for x:

x = 1.8 / 4.5
x = 0.4

So the solution for x in the first equation is x = 0.4.

To solve the second equation:

5/8y - 3/4 = -2 2/5

First, change the mixed number to an improper fraction:

-2 2/5 = -12/5

Next, add 3/4 to both sides:

5/8y = -12/5 + 3/4
5/8y = -48/20 + 15/20
5/8y = -33/20

Now, multiply by the reciprocal of 5/8 to solve for y:

y = (-33/20) * (8/5)
y = -132/100
y = -1.32

So the solution for y in the second equation is y = -1.32.