How do you solve #-\frac { 2} { 5} ( y + \frac { 3} { 4} ) = - \frac { 1} { 6} ( y + 3)#?

1 Answer
smendyka
Nov 5, 2016

#y = 6/7#

Explanation:

Step 1) Multiple each side of the equation by #-30# to eliminate the negative fraction to make the problem easier to work with and to keep the equation balanced.
Step 2) Expand the terms in parenthesis
Step 3) Solve for #y# while keeping the equation balanced

#-30(-2/5)(y + 3/4) = -30(-1/6)(y + 3)#

#60/5(y + 3/4) = 30/6(y + 3)#

#12(y + 3/4) = 5(y + 3)#

#12y + 12(3/4) = 5y + 5*3#

#12y + 9 = 5y + 15#

#12y + 9 - 5y - 9 = 5y + 15 - 5y - 9#

#7y = 6#

#(7y)/7 = 6/7#

#1y = 6/7#

#y = 6/7#

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