How do you solve #3( y - 5) - 7= - 7( - 4y + 4) - 9y#?

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Answer 1 · 2016-10-09T19:24:45

#y=3/8#

Start on one side of the equation and combine any like terms. But first to do so, you have to distribute.

Starting on the left side of the equation, distribute #3# throughout the set of parenthesis

#3y-15-7#

Now, you can combine #-15-7#

#-15-7=-22#

So, the left side now looks like: #3y-22=#

Next, move to the right side of the equation and distribute #-7# throughout the set of parenthesis

#28y-28-9y#

Combine like terms

#19y-28#

The full equation now looks like this:
#3y-22=19y-28#

To finish off, isolate #y# by adding #22# on both sides of the equation

#3y=19y-6#

Subtract #19y# from both sides of the equation

#-16y=-6#

Divide by #16# to isolate y
#y=3/8#