Answer:
To express the expression 2/5 - 4/y + 3 as a single fraction, we need to find a common denominator for the fractions involved.
The common denominator for 5 and y is 5y.
First, we'll rewrite 2/5 as an equivalent fraction with the denominator 5y:
2/5 = (2 * y)/(5 * y) = 2y/5y
Next, we'll rewrite 4/y as an equivalent fraction with the denominator 5y:
4/y = (4 * 5)/(y * 5) = 20/5y
Now, we can rewrite the expression with the common denominator 5y:
2y/5y - 20/5y + 3
Since the denominators are now the same, we can combine the numerators:
(2y - 20 + 3 * 5y)/(5y)
Simplifying further:
(2y - 20 + 15y)/(5y) = (17y - 20)/(5y)
Thus, the expression 2/5 - 4/y + 3 can be expressed as a single fraction: (17y - 20)/(5y).