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\frac{1}{5}\left(38-y\right)-\left(-y-5\right)
Reduce the fraction \frac{2}{10} to lowest terms by extracting and canceling out 2.
\frac{1}{5}\times 38+\frac{1}{5}\left(-1\right)y-\left(-y-5\right)
Use the distributive property to multiply \frac{1}{5} by 38-y.
\frac{38}{5}+\frac{1}{5}\left(-1\right)y-\left(-y-5\right)
Multiply \frac{1}{5} and 38 to get \frac{38}{5}.
\frac{38}{5}-\frac{1}{5}y-\left(-y-5\right)
Multiply \frac{1}{5} and -1 to get -\frac{1}{5}.
\frac{38}{5}-\frac{1}{5}y-\left(-y\right)-\left(-5\right)
To find the opposite of -y-5, find the opposite of each term.
\frac{38}{5}-\frac{1}{5}y-\left(-y\right)+5
The opposite of -5 is 5.
\frac{38}{5}-\frac{1}{5}y-\left(-y\right)+\frac{25}{5}
Convert 5 to fraction \frac{25}{5}.
\frac{38+25}{5}-\frac{1}{5}y-\left(-y\right)
Since \frac{38}{5} and \frac{25}{5} have the same denominator, add them by adding their numerators.
\frac{63}{5}-\frac{1}{5}y-\left(-y\right)
Add 38 and 25 to get 63.
\frac{63}{5}-\frac{1}{5}y+y
Multiply -1 and -1 to get 1.
\frac{63}{5}+\frac{4}{5}y
Combine -\frac{1}{5}y and y to get \frac{4}{5}y.
\frac{1}{5}\left(38-y\right)-\left(-y-5\right)
Reduce the fraction \frac{2}{10} to lowest terms by extracting and canceling out 2.
\frac{1}{5}\times 38+\frac{1}{5}\left(-1\right)y-\left(-y-5\right)
Use the distributive property to multiply \frac{1}{5} by 38-y.
\frac{38}{5}+\frac{1}{5}\left(-1\right)y-\left(-y-5\right)
Multiply \frac{1}{5} and 38 to get \frac{38}{5}.
\frac{38}{5}-\frac{1}{5}y-\left(-y-5\right)
Multiply \frac{1}{5} and -1 to get -\frac{1}{5}.
\frac{38}{5}-\frac{1}{5}y-\left(-y\right)-\left(-5\right)
To find the opposite of -y-5, find the opposite of each term.
\frac{38}{5}-\frac{1}{5}y-\left(-y\right)+5
The opposite of -5 is 5.
\frac{38}{5}-\frac{1}{5}y-\left(-y\right)+\frac{25}{5}
Convert 5 to fraction \frac{25}{5}.
\frac{38+25}{5}-\frac{1}{5}y-\left(-y\right)
Since \frac{38}{5} and \frac{25}{5} have the same denominator, add them by adding their numerators.
\frac{63}{5}-\frac{1}{5}y-\left(-y\right)
Add 38 and 25 to get 63.
\frac{63}{5}-\frac{1}{5}y+y
Multiply -1 and -1 to get 1.
\frac{63}{5}+\frac{4}{5}y
Combine -\frac{1}{5}y and y to get \frac{4}{5}y.