SOLUTION: I need to simplify the expression by combining like terms -2/3(y-11x)-1/6y i know you need to distrubute but it gets so complex i know i'm doing something wrong please help, i

Algebra ->  Algebra  -> Numeric Fractions Calculators, Lesson and Practice -> SOLUTION: I need to simplify the expression by combining like terms -2/3(y-11x)-1/6y i know you need to distrubute but it gets so complex i know i'm doing something wrong please help, i       Log On

Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!
Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!

   

Question 120445This question is from textbook Elmentary Algebra
: I need to simplify the expression by combining like terms
-2/3(y-11x)-1/6y
i know you need to distrubute but it gets so complex i know i'm doing something wrong please help, i ask for help more than two hours ago now if someone could please reply it would really heelp thanksThis question is from textbook Elmentary Algebra

Answer by jim_thompson5910(21667) About Me  (Show Source):
You can put this solution on YOUR website!
%28-2%2F3%29%28y-11x%29-%281%2F6%29y Start with the given expression


%28-2%2F3%29%28y%29%2B%28-2%2F3%29%28-11x%29-%281%2F6%29y Distribute -2%2F3 among the terms in the parenthesis


-%282%2F3%29y%2B%28-2%2F3%29%28-11x%29-%281%2F6%29y Multiply -2%2F3 and y to get -%282%2F3%29y

-%282%2F3%29y%2B%2822%2F3%29x-%281%2F6%29y Multiply -2%2F3 and -11x to get %28-2%2F3%29%28-11x%29=%28%28-2%2A-11%29%2F3%29x=%2822%2F3%29x



%28-%282%2F3%29y-%281%2F6%29y%29%2B%2822%2F3%29x Group like terms


%28-%284%2F6%29y-%281%2F6%29y%29%2B%2822%2F3%29x Convert -%282%2F3%29y into -%284%2F6%29y


%28%28-4-1%29%2F6%29y%2B%2822%2F3%29x Combine the fractions


-%285%2F6%29y%2B%2822%2F3%29x Combine the numerators



So %28-2%2F3%29%28y-11x%29-%281%2F6%29y simplifies to -%285%2F6%29y%2B%2822%2F3%29x



In other words, %28-2%2F3%29%28y-11x%29-%281%2F6%29y=-%285%2F6%29y%2B%2822%2F3%29x