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Chapter 4: Problem 51

Add. $$(5 y-8)+(2 y+6)$$

Short Answer

Expert verified
The addition of the two polynomials \(5y - 8\) and \(2y + 6\) gives the result \(7y - 2\).

Step by step solution

01

Identify like terms

In the given expression, \(5 y-8\) and \(2 y+6\), the like terms are terms containing \(y\) which are \(5y\) and \(2y\), while \(-8\) and \(6\) are constants.
02

Add the like terms

We add the like terms together which means we add \(5y\) and \(2y\) to get \(7y\), then we add \(-8\) and \(6\) to get \(-2\). In summing up the like terms, we get: \(7y - 2\)
03

Write the final expression

The result of our addition gives us the simplified expression which is: \(7y - 2\).

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