1
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Solve for y.

2
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We have three y plus seven is less than two y and

3
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four y plus eight is greater than negative forty-eight.

4
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So we have to find all the y's that meet both of these constraints

5
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so let's just solve for y in each of the constraints and just remember that this "and" is here.

6
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So we have three y plus seven is less than two y

7
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so let's isolate the y's on the left-hand side

8
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so let's get rid of this two y on the right-hand side

9
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and we can do that by subtracting two y from both sides.

10
00:00:34,800 --> 00:00:37,933
So we're going to subtract two y from both sides,

11
00:00:37,933 --> 00:00:40,733
the left-hand sides we have three y minus two y,

12
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which is just y, plus seven

13
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is less than two y minus two y and there's nothing else there

14
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that's just going to be zero.

15
00:00:49,267 --> 00:00:51,213
And then we can get rid of this seven here

16
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by subtracting seven from both sides

17
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so let's subtract seven from both sides,

18
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left-hand side, y plus seven minus seven, those cancel out, we just have a y

19
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is less than zero minus seven, which is negative seven.

20
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so that's one of the constraints. That's this constraint

21
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right over here.

22
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Now let's work on this constraint.

23
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We have four y, plus eight is greater than negative forty-eight.

24
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So let's get rid of the eight from the left-hand side

25
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so we can subtract eight from both sides, subtract eight from both sides,

26
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the left-hand side we're just left with a four y because

27
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these guys cancel out.

28
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Four y is greater than negative forty-eight minus eight

29
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So we're going to go another eight negative,