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For the given expression, identify the terms, like terms, coefficients, and constant terms. Then simplify the expression. (Lesson 2.3)

8+2y-1-9y+3

Short Answer

Expert verified

Value of given expression is 10-7y.

Step by step solution

01

Step-1- Terms and like terms

8+2y-1-9y+3

Parts of an expression that are added together are called terms

Therefore, the terms in given expression are 8,2y,-1,-9y,3.

The term which has the same variable part are called like terms.

Therefore, the like terms in given expression are 2y,-9y.

02

Step-2-Coefficients and constant terms

Number part of a term with a variable is called the coefficient.

Therefore, the coefficients in given expression are 2,-9.

Term independent of any variable are called constants.

Therefore, the constants in given expression are 8,-1,3.

03

Step-3-Solving given expression

8+2y-1-9y+3

On simplifying, we get

8+2y−1−9y+3=8−1+3+2y−9y8+2y−1−9y+3=10−7y

Therefore, the value of given expression is 10-7y.

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