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