Question

question
rewrite in simplest terms: $10(-7x + y) + 10y - 7(-2y + 8x)$

Explanation:

Step1: Distribute the coefficients

First, we distribute the 10 and -7 across the parentheses:
For \(10(-7x + y)\), we get \(10\times(-7x)+10\times y=-70x + 10y\).
For \(-7(-2y + 8x)\), we get \(-7\times(-2y)+(-7)\times8x = 14y-56x\).
So the expression becomes \(-70x + 10y+10y + 14y-56x\).

Step2: Combine like terms

Now we combine the \(x\) terms and the \(y\) terms separately.
For the \(x\) terms: \(-70x-56x=(-70 - 56)x=-126x\).
For the \(y\) terms: \(10y + 10y+14y=(10 + 10+14)y = 34y\).

Answer:

\(-126x + 34y\)