document.write( "Question 110583This question is from textbook
\n" ); document.write( ": I can not figure out how to solve this problem. 3(7-2y)=9\r
\n" ); document.write( "\n" ); document.write( "do i divide what is in parenthesis then times by 3. i need to learn how to figure problems like this out. \n" ); document.write( "
Algebra.Com's Answer #80557 by bucky(2189)\"\" \"About 
You can put this solution on YOUR website!
The 3 outside the parentheses tells you to multiply each of the terms inside the parentheses by 3.
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\n" ); document.write( "3 times 7 is 21 and 3 times -2y is -6y. So the left side is multiplied out and the equation becomes:
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\n" ); document.write( "21 - 6y = 9
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\n" ); document.write( "Next your goal is to get all the terms with y on one side of the equation and all the numbers
\n" ); document.write( "on the other side.
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\n" ); document.write( "Note that if you subtract 21 from the left side the 21 will go away. But if you subtract 21
\n" ); document.write( "from the left side you must also subtract 21 from the right side. The first step is to subtract
\n" ); document.write( "21 from both sides. When you do you get:
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\n" ); document.write( "21 - 6y - 21 = 9 - 21
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\n" ); document.write( "On the left side 21 minus 21 is zero. On the right side 9 - 21 = -12. These two subtractions
\n" ); document.write( "reduce the equation to:
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\n" ); document.write( "-6y = -12
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\n" ); document.write( "Finally you can solve for y by dividing both sides of the equation by -6 which is the
\n" ); document.write( "multiplier of y. This division leads to:
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\n" ); document.write( "\"%28-6y%29%2F-6+=+%28-12%29%2F%28-6%29\"
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\n" ); document.write( "On the left side the -6 in the numerator cancels the -6 in the denominator and you are left
\n" ); document.write( "with just y. On the right side the division of -12 in the numerator by -6 in the denominator
\n" ); document.write( "results in +2. So you are left with:
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\n" ); document.write( "y = 2
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\n" ); document.write( "This should be the answer. You can check it out by returning to the original problem,
\n" ); document.write( "substituting 2 for y, and making sure that the left side of the equation is equal to the
\n" ); document.write( "right side.
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\n" ); document.write( "So start with the original equation:
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\n" ); document.write( "3*(7 - 2y) = 9
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\n" ); document.write( "Put 2 in for y to make this equation become:
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\n" ); document.write( "3*(7 - 2*2) = 9
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\n" ); document.write( "Inside the parentheses multiply the 2*2 to get 4. Put 4 in place of 2*2 and the equation
\n" ); document.write( "becomes:
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\n" ); document.write( "3*(7 - 4) = 9
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\n" ); document.write( "The number inside the parentheses is 7 - 4 which is 3. So replace 7 - 4 with 3:
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\n" ); document.write( "3*(3) = 9
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\n" ); document.write( "and on the left side the 3 times 3 is equal to 9 and therefore the left side is 9 and
\n" ); document.write( "the equation becomes:
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\n" ); document.write( "9 = 9
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\n" ); document.write( "Your answer of y = 2 is correct because when 2 is substituted for y in the original
\n" ); document.write( "problem, the left side of the equation is equal to the right side.
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\n" ); document.write( "Hope this helps you to see how to work this problem.
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