document.write( "Question 883030: solve for
\n" ); document.write( "absolute value y-8 = absolute value 4y+3
\n" ); document.write( "Hello,
\n" ); document.write( "I didn't understand what the professor wrote on my paper and I am trying to study the steps she put. if you could show me the steps I would appreciate it. Thank you for your time. - Jackie\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "
Algebra.Com's Answer #533266 by LinnW(1048)\"\" \"About 
You can put this solution on YOUR website!
\"abs%28y-8%29=abs%284y%2B3%29\"
\n" ); document.write( "From this we know the following possibilities
\n" ); document.write( "1) y-8 = 4y+3 or
\n" ); document.write( "2) -(y-8) = 4y+3 or
\n" ); document.write( "3) -(y-8) = -(4y+3) or
\n" ); document.write( "4) y-8 = -(4y+3)
\n" ); document.write( "Notice that if 1) is equivalent to 3)
\n" ); document.write( "and 2) is equivalent to 4)
\n" ); document.write( "so we just need to solve 1) and 2)
\n" ); document.write( "1) y-8 = 4y+3 or
\n" ); document.write( "2) -(y-8) = 4y+3
\n" ); document.write( "Solving 1) first
\n" ); document.write( "y-8 = 4y+3
\n" ); document.write( "add 8 to each side
\n" ); document.write( " y = 4y + 11
\n" ); document.write( "add -4y to each side
\n" ); document.write( " -3y = 11
\n" ); document.write( "divide each side by -3
\n" ); document.write( " y = -11/3
\n" ); document.write( "Solve 2)
\n" ); document.write( "-(y-8) = 4y+3
\n" ); document.write( " -y + 8 = 4y + 3
\n" ); document.write( "add -4y to each side
\n" ); document.write( " -5y + 8 = 3
\n" ); document.write( "add -8 to each side
\n" ); document.write( " -5y = -5
\n" ); document.write( " y = 1
\n" ); document.write( "So y can be -11/3 or 1
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