Question 241433


{{{12(y-1)-4y=3(2y-2)+9y}}} Start with the given equation.



{{{12y-12-4y=6y-6+9y}}} Distribute.



{{{8y-12=6y-6+9y}}} Combine like terms on the left side.



{{{8y-12=15y-6}}} Combine like terms on the right side.



{{{8y=15y-6+12}}} Add {{{12}}} to both sides.



{{{8y-15y=-6+12}}} Subtract {{{15y}}} from both sides.



{{{-7y=-6+12}}} Combine like terms on the left side.



{{{-7y=6}}} Combine like terms on the right side.



{{{y=(6)/(-7)}}} Divide both sides by {{{-7}}} to isolate {{{y}}}.



{{{y=-6/7}}} Reduce.



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Answer:


So the solution is {{{y=-6/7}}} which approximates to {{{y=-0.857}}}.