Combine like terms. 2y-2+5+2x-4y-6+x Answer:

Identify and Group Like Terms: Identify and group like terms. We have the terms 2y and -4y which are like terms because they both contain the variable y. We also have the terms 2x and x which are like terms because they both contain the variable x. The constants -2, +5, and -6 are like terms as well because they are all real numbers without variables. Grouping like terms, we get: (2y - 4y) + (2x + x) + (-2 + 5 - 6).Combine Like Terms with y: Combine the like terms that contain the variable y. 2y - 4y = -2y.Combine Like Terms with x: Combine the like terms that contain the variable x. 2x + x = 3x (since x is the same as 1x).Combine Constant Terms: Combine the constant terms. -2 + 5 - 6 = 3 - 6 = -3.Write Simplified Expression: Write the simplified expression with the combined like terms. The simplified expression is -2y + 3x - 3.

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Combine like terms.

2y-2+5+2x-4y-6+x
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Combine like terms. $\newline$ $2 y-2+5+2 x-4 y-6+x$ $\newline$ Answer:

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Algebra 1

Simplify variable expressions involving like terms and the distributive property

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Q. Combine like terms.

\newline

2 y-2+5+2 x-4 y-6+x

\newline

Answer:

Identify and Group Like Terms: Identify and group like terms. $\newline$ We have the terms $2y$ and $-4y$ which are like terms because they both contain the variable $y$ . We also have the terms $2x$ and $x$ which are like terms because they both contain the variable $x$ . The constants $-2$ , $+5$ , and $-6$ are like terms as well because they are all real numbers without variables. $\newline$ Grouping like terms, we get: $(2y - 4y) + (2x + x) + (-2 + 5 - 6)$ .
Combine Like Terms with $y$ : Combine the like terms that contain the variable $y$ . $2y - 4y = -2y$ .
Combine Like Terms with $x$ : Combine the like terms that contain the variable $x$ . $2x + x = 3x$ (since $x$ is the same as $1x$ ).
Combine Constant Terms: Combine the constant terms. $\newline$ $-2 + 5 - 6 = 3 - 6 = -3$ .
Write Simplified Expression: Write the simplified expression with the combined like terms. $\newline$ The simplified expression is $-2y + 3x - 3$ .