Question

Question
Simplify the algebraic expression: 7𝑦 + 3𝑥 − 3𝑦 − 2𝑥 + 2𝑦.(1 point)
Responses

7xy
7xy

x + 6y
x + 6y

17x + y
17x + y

7y

Answer 1

To simplify the expression \(7y + 3x - 3y - 2x + 2y\), we can combine like terms.

1. Combine the \(y\) terms:
\[
7y - 3y + 2y = (7 - 3 + 2)y = 6y
\]

2. Combine the \(x\) terms:
\[
3x - 2x = (3 - 2)x = 1x = x
\]

Putting it all together:
\[
x + 6y
\]

Thus, the simplified expression is \(x + 6y\).

The correct response is:
**x + 6y**