How do you solve $| 2 y + 7 | = 7$ $abs(2y+7)=7$ ?

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How do you solve $| 2 y + 7 | = 7$ $abs(2y+7)=7$ ?

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Answer 1 · 2017-07-20T17:24:32

As the absolute value of $2 y + 7 = 7$ $2y+7=7$ , then $2 y + 7 = \pm 7$ $2y+7=+-7$ , as abs(), takes the magnitude of the number, whether its positive or negative, abs(), makes it positive.

So, either $2 y + 7 = 7$ $2y+7=7$ , or $2 y + 7 = - 7$ $2y+7=-7$

Let's solve $2 y + 7 = 7$ $2y+7=7$ first:
We take 7 from both sides first- $2 y + 7 - 7 = 7 - 7 \equiv 2 y = 0$ $2y+7-color(red)(7)=7-color(red)(7)-=2y=0$

Then we divide both sides by 2 - $\frac{2 y}{2} = \frac{0}{2} \equiv y = 0$ $(2y)/color(red)(2)=0/color(red)(2)-=y=0$

Now, let's solve for $2 y + 7 = - 7$ $2y+7=-7$ :
We take 7 from both sides first- $2 y + 7 - 7 = - 7 - 7 \equiv 2 y = - 14$ $2y+7-color(red)(7)=-7-color(red)(7)-=2y=-14$

Then we divide both sides by 2 - $\frac{2 y}{2} = - \frac{14}{2} \equiv y = - 7$ $(2y)/color(red)(2)=-14/color(red)(2)-=y=-7$

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How do you solve $| 2 y + 7 | = 7$ $abs(2y+7)=7$ ?

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