Question 368817
I'll do the first two to get you started.


# 1


{{{6x+4=5(3x+8)}}} Start with the given equation.



{{{6x+4=15x+40}}} Distribute.



{{{6x=15x+40-4}}} Subtract {{{4}}} from both sides.



{{{6x-15x=40-4}}} Subtract {{{15x}}} from both sides.



{{{-9x=40-4}}} Combine like terms on the left side.



{{{-9x=36}}} Combine like terms on the right side.



{{{x=(36)/(-9)}}} Divide both sides by {{{-9}}} to isolate {{{x}}}.



{{{x=-4}}} Reduce.



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Answer:


So the solution is {{{x=-4}}} 


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# 2



{{{-2(18-3y)=7y+2y}}} Start with the given equation.



{{{-36+6y=7y+2y}}} Distribute.



{{{-36+6y=9y}}} Combine like terms on the right side.



{{{6y=9y+36}}} Add {{{36}}} to both sides.



{{{6y-9y=36}}} Subtract {{{9y}}} from both sides.



{{{-3y=36}}} Combine like terms on the left side.



{{{y=(36)/(-3)}}} Divide both sides by {{{-3}}} to isolate {{{y}}}.



{{{y=-12}}} Reduce.



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Answer:


So the solution is {{{y=-12}}} 



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