Question 228199


{{{3(y-1)-1=2-5(y+5)}}} Start with the given equation.



{{{3y-3-1=2-5y-25}}} Distribute.



{{{3y-4=2-5y-25}}} Combine like terms on the left side.



{{{3y-4=-5y-23}}} Combine like terms on the right side.



{{{3y=-5y-23+4}}} Add {{{4}}} to both sides.



{{{3y+5y=-23+4}}} Add {{{5y}}} to both sides.



{{{8y=-23+4}}} Combine like terms on the left side.



{{{8y=-19}}} Combine like terms on the right side.



{{{y=(-19)/(8)}}} Divide both sides by {{{8}}} to isolate {{{y}}}.



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Answer:


So the solution is {{{y=-19/8}}} which in decimal form is {{{y=-2.375}}}.