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If $y=2 x,$ and $3(y+6 x)-7(2 y+3)=11,$ what is the value of $y ?$
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Chapter 12
Math Foundations—Algebra Review
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we're going to solve this equation for why and we know that why is equal to two X So everywhere we have a why we can replace it with a two X or everywhere we have an X. We can replace it with a Y over two. We have to make a decision and it looks like we only have a single X terminar problem. So let's go ahead and replace X with y over two. So we have three times y plus six times why over two minus seven times two y plus three equals 11. So we have three times why plus three y minus seven times two y plus three equals 11 Now, you would certainly be welcome to simplify that sooner and replace your six X with the three y sooner. You didn't have to go through that many steps to do it. Okay, Continuing to simplify and sulfur Why? Let's go ahead and add these two terms together we get four way. So three times four y is 12 y. Now let's distribute our negative seven and we have minus 14. Y minus 21 is equal to 11. Okay, let's combine our white terms 12 Y minus 14. Why is negative? Two y? And let's add 21 to both sides, and that gives us negative. Two. Y equals 32. Finally, we divide both sides by negative, too, and we get why is negative 16.
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