How do you solve #\frac { 4} { 9} y - \frac { 4} { 3} = \frac { 1} { 6} y + \frac { 11} { 18}#?

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Answer 1 · 2018-04-27T20:33:05

#y=7#

Change all the fractions to equivalent ones with 18 as the denominator.

#8/18y-24/18=3/18y+11/18#

Multiply everything by 18

#8y-24=3y+11#

Add 24 to both sides

#8y=3y+35#

Subtract 3y from both sides

#5y=35#

Divide by 5

#y=7#