Answer
$1$
Work Step by Step
To subtract rational expressions with the same denominator,
subtract numerators and place the difference over the common denominator.
If possible, factor and simplify the result.
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Don't forget to place the second numerator in parentheses when subtracting.
$\displaystyle \frac{14y}{7y+2}-\frac{7y-2}{7y+2}= \displaystyle \frac{14y-(7y-2)}{7y+2}$
$= \displaystyle \frac{14y-7y+2}{7y+2}$
$= \displaystyle \frac{7y+2}{7y+2}=1$