Evaluate
\frac{17y-4x}{7}
Expand
\frac{17y-4x}{7}
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\frac{3}{7}x+\frac{3}{7}y-\left(x-2y\right)
Use the distributive property to multiply \frac{3}{7} by x+y.
\frac{3}{7}x+\frac{3}{7}y-x-\left(-2y\right)
To find the opposite of x-2y, find the opposite of each term.
\frac{3}{7}x+\frac{3}{7}y-x+2y
The opposite of -2y is 2y.
-\frac{4}{7}x+\frac{3}{7}y+2y
Combine \frac{3}{7}x and -x to get -\frac{4}{7}x.
-\frac{4}{7}x+\frac{17}{7}y
Combine \frac{3}{7}y and 2y to get \frac{17}{7}y.
\frac{3}{7}x+\frac{3}{7}y-\left(x-2y\right)
Use the distributive property to multiply \frac{3}{7} by x+y.
\frac{3}{7}x+\frac{3}{7}y-x-\left(-2y\right)
To find the opposite of x-2y, find the opposite of each term.
\frac{3}{7}x+\frac{3}{7}y-x+2y
The opposite of -2y is 2y.
-\frac{4}{7}x+\frac{3}{7}y+2y
Combine \frac{3}{7}x and -x to get -\frac{4}{7}x.
-\frac{4}{7}x+\frac{17}{7}y
Combine \frac{3}{7}y and 2y to get \frac{17}{7}y.
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