Question 596031
Hi, there---
2y-3(2-y)=5+y
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Multiply 3 times each term inside the parentheses.
2y-6+3y=5+y
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Now we want to combine like terms, 2y+3y is 5y.
5y-6=5+y
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Our goal is to isolate y on one side of the equation. Subract y from both sides.
5y-6-y=5+y-y
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Simplify. y-y is 0.
4y-6=5
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Add 6 to both sides of the equation.
4y-6+6=5+6
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Simplify. -6+6 is 0.
4y=11
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Divide both sides of the equation by 4. 4y divided by 4 is 1y or just y.
y=11/4
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It's always a good idea to check your answer by substituting it into the original equation.
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{{{2y-3(2-y)=5+y}}}
{{{2(11/4)-3(2-(11/4))=5+(11/4)}}}
{{{22/4-6+33/4=5+11/4}}}
{{{22/4-24/4+33/4=20/4+11/4}}}
{{{31/4=31/4}}}
Bingo!
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Feel free to email me if any part doesn't make sense.
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Ms.Figgy
math.in.the.vortex@gmail.com