Answer:
To solve for y in the equation:
y/4 - y + 1/5 = y + 2/8
Let's start by simplifying the equation:
First, let's find a common denominator for the fractions. The least common multiple (LCM) of 4, 5, and 8 is 40.
Multiplying every term by 40 to clear the fractions, we get:
10y - 40y + 8 = 40y + 10
Combining like terms:
-30y + 8 = 40y + 10
Next, let's isolate the variable terms on one side of the equation:
-30y - 40y = 10 - 8
-70y = 2
Now, let's solve for y by dividing both sides of the equation by -70:
y = 2 / -70
Simplifying the fraction:
y = -1/35
Therefore, the solution to the equation is y = -1/35.
