Question 750447
{{{5(y-2)-2=2(y+10)-5}}} Start with the given equation.



{{{5y-10-2=2y+20-5}}} Distribute.



{{{5y-12=2y+20-5}}} Combine like terms on the left side.



{{{5y-12=2y+15}}} Combine like terms on the right side.



{{{5y=2y+15+12}}} Add {{{12}}} to both sides.



{{{5y-2y=15+12}}} Subtract {{{2y}}} from both sides.



{{{3y=15+12}}} Combine like terms on the left side.



{{{3y=27}}} Combine like terms on the right side.



{{{y=(27)/(3)}}} Divide both sides by {{{3}}} to isolate {{{y}}}.



{{{y=9}}} Reduce.



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Answer:


So the solution is {{{y=9}}}