<PRE><B>Question 22903</B>
Hello There:

(y - 8)/2 = (y + 10)/5

Clear the fractions by multiplying both sides of this equation by 10 (the LCM of 2 and 5).

5*(y - 8) = 2*(y + 10)

Use the distributive property to get rid of the parentheses.

5*y - 40 = 2*y + 20

Combine like terms; subtract 2*y from both sides and add 40 to both sides.

5*y - 2*y = 20 + 40

3*y = 60

Solve for y by dividing both sides by 3.

y = 60/3

y = 20

Check the answer by substituting 20 for y in the original equation, and then simplify to see if you end up with a true statement.

(20 - 8)/2 = (20 + 10)/5

12/2 = 30/5

6 = 6

Our solutions checks out.

~ Mark
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