Combine like terms. -2-x+6y-y-7+3-3y Answer:

Identify and Group Like Terms: First, we need to identify and group like terms. Like terms are terms that contain the same variable raised to the same power. In this expression, the like terms are the constants (-2, -7, and 3) and the terms with the variable y (6y, -y, and -3y). The term with the variable x (-x) is by itself.Combine Constants: Next, we combine the constants: -2 - 7 + 3. We do this by adding and subtracting the numbers. -2 - 7 + 3 = -9 + 3 = -6Combine Terms with Variable y: Now, we combine the terms with the variable y: 6y - y - 3y. We do this by adding and subtracting the coefficients of y. 6y - y - 3y = 6y - 1y - 3y = 5y - 3y = 2yWrite Simplified Expression: Finally, we write down the simplified expression by combining the results from the previous steps with the term containing x. Since there is only one term with x, it remains unchanged. The simplified expression is: -x + 2y - 6

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Combine like terms.

-2-x+6y-y-7+3-3y
Answer:

Combine like terms. $\newline$ $-2-x+6 y-y-7+3-3 y$ $\newline$ Answer:

View step-by-step help

Full solution

Q. Combine like terms.

\newline

-2-x+6 y-y-7+3-3 y

\newline

Answer:

Identify and Group Like Terms: First, we need to identify and group like terms. Like terms are terms that contain the same variable raised to the same power. In this expression, the like terms are the constants -2, -7,\ and \3 and the terms with the variable $y$ 6y, -y,\ and \-3y. The term with the variable $x$ $-x$ is by itself.
Combine Constants: Next, we combine the constants: $-2 - 7 + 3$ . We do this by adding and subtracting the numbers. $-2 - 7 + 3 = -9 + 3 = -6$
Combine Terms with Variable $y$ : Now, we combine the terms with the variable $y$ : $6y - y - 3y$ . We do this by adding and subtracting the coefficients of $y$ . $\newline$ $6y - y - 3y = 6y - 1y - 3y = 5y - 3y = 2y$
Write Simplified Expression: Finally, we write down the simplified expression by combining the results from the previous steps with the term containing $x$ . Since there is only one term with $x$ , it remains unchanged. $\newline$ The simplified expression is: $-x + 2y - 6$