Question 323263


{{{3(4-y)=5(y+2)}}} Start with the given equation.



{{{12-3y=5y+10}}} Distribute.



{{{-3y=5y+10-12}}} Subtract {{{12}}} from both sides.



{{{-3y-5y=10-12}}} Subtract {{{5y}}} from both sides.



{{{-8y=10-12}}} Combine like terms on the left side.



{{{-8y=-2}}} Combine like terms on the right side.



{{{y=(-2)/(-8)}}} Divide both sides by {{{-8}}} to isolate {{{y}}}.



{{{y=1/4}}} Reduce.



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Answer:


So the solution is {{{y=1/4}}} which in decimal form is {{{y=0.25}}}.