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Mathematics 19 Online
OpenStudy (bakablinkie):

-24 + 2(y - 9) Can I have it explained too please? Thank you!

OpenStudy (lord_box):

What's the goal of the problem?

OpenStudy (bakablinkie):

To simplify it, sorry

OpenStudy (lord_box):

First you need to distribute the 2 to the y and - 9

OpenStudy (bakablinkie):

okay

OpenStudy (bakablinkie):

so 2y and -18?

OpenStudy (lord_box):

Yes, now combined your like terms

OpenStudy (bakablinkie):

-42 + 2y:?

OpenStudy (lord_box):

Yep. And in general we list things in decreasing power, so the 2y would be put first.\[2y - 42\] or you could divide both terms by 2 and have a more simple \[2(x + y)\] arrangement.

OpenStudy (bakablinkie):

hold on brb

OpenStudy (bakablinkie):

okay sorry

OpenStudy (bakablinkie):

so would the answer be -40y?

OpenStudy (skullpatrol):

Your answer of -42 + 2y is correct @bakablinkie :-)

OpenStudy (skullpatrol):

-40y is not correct because you cannot combine -42 + 2y any any further, they are unlike terms due to the variable y in 2y.

OpenStudy (skullpatrol):

Recall 2y means 2 • y and the value of this term depends on the value of the variable y, while the value of -42 does not depend on y.

OpenStudy (skullpatrol):

$$\Huge -24 + 2(y - 9) = -24 + 2y -18$$ Specifically when you combined -24 and -18 you were combining the numerical terms to get the simpler -42.

OpenStudy (skullpatrol):

$$\Huge 2y$$ that^ is a variable term.

OpenStudy (studyloverhojea):

-24 + 2(y - 9) --> -24 + 2y - 18 --> -24 -18 + 2y --> -42 +2y The answer is -42 + 2y.

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