Evaluate
\frac{3x^{2}}{7}-\frac{23x}{7}-4y+\frac{10}{7}
Expand
\frac{3x^{2}}{7}-\frac{23x}{7}-4y+\frac{10}{7}
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\frac{3}{7}\left(x^{2}-3x+4+4\right)-\left(2x+4y\right)-2
Anything divided by one gives itself.
\frac{3}{7}\left(x^{2}-3x+8\right)-\left(2x+4y\right)-2
Add 4 and 4 to get 8.
\frac{3}{7}x^{2}-\frac{9}{7}x+\frac{24}{7}-\left(2x+4y\right)-2
Use the distributive property to multiply \frac{3}{7} by x^{2}-3x+8.
\frac{3}{7}x^{2}-\frac{9}{7}x+\frac{24}{7}-2x-4y-2
To find the opposite of 2x+4y, find the opposite of each term.
\frac{3}{7}x^{2}-\frac{23}{7}x+\frac{24}{7}-4y-2
Combine -\frac{9}{7}x and -2x to get -\frac{23}{7}x.
\frac{3}{7}x^{2}-\frac{23}{7}x+\frac{10}{7}-4y
Subtract 2 from \frac{24}{7} to get \frac{10}{7}.
\frac{3}{7}\left(x^{2}-3x+4+4\right)-\left(2x+4y\right)-2
Anything divided by one gives itself.
\frac{3}{7}\left(x^{2}-3x+8\right)-\left(2x+4y\right)-2
Add 4 and 4 to get 8.
\frac{3}{7}x^{2}-\frac{9}{7}x+\frac{24}{7}-\left(2x+4y\right)-2
Use the distributive property to multiply \frac{3}{7} by x^{2}-3x+8.
\frac{3}{7}x^{2}-\frac{9}{7}x+\frac{24}{7}-2x-4y-2
To find the opposite of 2x+4y, find the opposite of each term.
\frac{3}{7}x^{2}-\frac{23}{7}x+\frac{24}{7}-4y-2
Combine -\frac{9}{7}x and -2x to get -\frac{23}{7}x.
\frac{3}{7}x^{2}-\frac{23}{7}x+\frac{10}{7}-4y
Subtract 2 from \frac{24}{7} to get \frac{10}{7}.
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