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Solve each equation and check the result. $$ 7 a-…

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Problem 1 Problem 2 Problem 3 Problem 4 Problem 5 Problem 6 Problem 7 Problem 8 Problem 9 Problem 10 Problem 11 Problem 12 Problem 13 Problem 14 Problem 15 Problem 16 Problem 17 Problem 18 Problem 19 Problem 20 Problem 21 Problem 22 Problem 23 Problem 24 Problem 25 Problem 26 Problem 27 Problem 28 Problem 29 Problem 30 Problem 31 Problem 32 Problem 33 Problem 34 Problem 35 Problem 36 Problem 37 Problem 38 Problem 39 Problem 40 Problem 41 Problem 42 Problem 43 Problem 44 Problem 45 Problem 46 Problem 47 Problem 48 Problem 49 Problem 50 Problem 51 Problem 52 Problem 53 Problem 54 Problem 55 Problem 56 Problem 57 Problem 58 Problem 58 Problem 59 Problem 60 Problem 61 Problem 62 Problem 63 Problem 64 Problem 65 Problem 66 Problem 67 Problem 68 Problem 69 Problem 70 Problem 71 Problem 72 Problem 73 Problem 74 Problem 75 Problem 76 Problem 77 Problem 78 Problem 79 Problem 80 Problem 81 Problem 82 Problem 83 Problem 84 Problem 85 Problem 86 Problem 87 Problem 88 Problem 89 Problem 90 Problem 91 Problem 92 Problem 94 Problem 95 Problem 96 Problem 97 Problem 98 Problem 99 Problem 100 Problem 101 Problem 102 Problem 103 Problem 104 Problem 105 Problem 106 Problem 107 Problem 108 Problem 109 Problem 110 Problem 111 Problem 112 Problem 113 Problem 114 Problem 115 Problem 116 Problem 117 Problem 118 Problem 119 Problem 120 Problem 121 Problem 122 Problem 123 Problem 124

Problem 28 Medium Difficulty

Solve each equation and check the result.
$$
16 y-8(3 y-2)=-24
$$

Answer

$y=5$

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Chapter 2

Equations, Inequalities, and Problem Solving

Section 2

More about Solving Equations

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Video Transcript

this time I want to solve 16. Why? Minus eight times three. Why? Minus two equals negative. 24. So I want to figure out what? Why is. But I need to get all my wives together in order to do that. So I'm gonna leave the 16. Why? Alone? But I'm gonna distribute this negative eight out to be able to see what's really going on here. So negative. Eight times three. Why is negative? 24? Why? And negative. Eight times Negative too is positive. 16 and that will still equals. I forgot my equal sign here. That was still equal. Negative. 24. Okay, now let's collect like terms. So if I put together 16 why and negative 24. Why, that's negative. Eight. Why? Plus the 16 equals negative. 24. Next, I want to go ahead and unravel this like I would a two step equation. So plus 16 has to be undone with a negative 16. I do it on both sides to keep the balance. So I get negative. Y equals negative. 40 And last but not least, I want to undo negative eight times. Why So all divide by that negative age and I end up with y equals five. Okay, Now I want to check that this answer really work. So I'm gonna go back to the beginning and everywhere I see why I will plug in a five. So 16 times five minus eight times. Three times five minus two. And I want to see if this equals negative 24. That's the big question, right? So 16 times five is 80 then I have minus eight. And let's just do all this stuff in parentheses together. So three times five is 15 minus two is 13. And if I go ahead and multiply this out 80 minus will eight times 13. I want to teach you a good trick. If you're like, I don't know, eight times 13. What you can do is parse it out into parts. So do eight times 10 which is 80 and then do eight times three, which is 24 add them together. And that's negative. 104. That's a neat trick that we use if you want to just multiply things without having to grab a calculator. And either way, a T minus 104 is negative. 24 which is indeed negative. 24. So we know why equals five

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