How do you combine #3( 4y - 5) - ( 7y + 2)#?

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Answer 1 · 2017-08-01T14:05:03

See a solution process below:

First, expand the term on the left by multiplying each term within the parenthesis by the term outside the parenthesis:

#color(red)(3)(4y - 5) - (7y + 2) =>#

#(color(red)(3) xx 4y) - (color(red)(3) xx 5) - (7y + 2) =>#

#12y - 15 - (7y + 2)#

Next, remove all of the terms from parenthesis. Be careful to handle the signs of each individual term correctly:

#12y - 15 - 7y - 2#

Then, group like terms:

#12y - 7y - 15 - 2#

Now, combine like terms:

#(12 - 7)y + (-15 - 2)#

#5y + (-17)#

#5y - 17#