Question

Rewrite in simplest terms: 10, left parenthesis, minus, 7, x, plus, y, right parenthesis, plus, 10, y, minus, 7, left parenthesis, minus, 2, y, plus, 8, x, right parenthesis10(−7x+y)+10y−7(−2y+8x)

Answer 1

To simplify the expression \(10(-7x + y) + 10y - 7(-2y + 8x)\), let's distribute and combine like terms step by step:

1. Distribute \(10\) in \(10(-7x + y)\):
\[
10(-7x + y) = -70x + 10y
\]

2. Distribute \(-7\) in \(-7(-2y + 8x)\):
\[
-7(-2y + 8x) = 14y - 56x
\]

3. Now, combine all parts of the expression:
\[
-70x + 10y + 10y + 14y - 56x
\]

4. Combine like terms:
- For \(x\): \(-70x - 56x = -126x\)
- For \(y\): \(10y + 10y + 14y = 34y\)

5. The simplified expression is:
\[
-126x + 34y
\]

So, the simplified expression is \(\boxed{-126x + 34y}\).