a)8x-7x+10=13

b)3y-y+16=32

c)525:R-82=23

A) Simplifying the left side of the equation, we get:

8x - 7x + 10 = x + 10

Now, we can subtract 10 from both sides:

x + 10 - 10 = 13 - 10

x = 3

Therefore, the solution to the equation is x = 3.

b) Following the same steps as in part (a), we simplify the left side of the equation:

3y - y + 16 = 2y + 16

Then, we can subtract 16 from both sides:

2y = 32 - 16

2y = 16

Finally, we divide both sides by 2:

y = 8

So, the solution to the equation is y = 8.

c) To solve this equation, we need to isolate the variable R on one side of the equation. We can start by multiplying both sides by R - 82:

525 = 23(R - 82)

Next, we can distribute the 23 on the right side:

525 = 23R - 1886

Then, we can add 1886 to both sides:

525 + 1886 = 23R

2411 = 23R

Finally, we divide both sides by 23:

R = 2411/23

R ≈ 104.83

Therefore, the solution to the equation is R ≈ 104.83.