Question 163042
{{{(y-2)/4=7y-2-6(y+1)}}} Start with the given equation



{{{y-2=28y-8-24(y+1)}}} Multiply EVERY term (excluding the terms in the parenthesis) by the LCD 4 to clear out the fraction.



{{{y-2=28y-8-24y-24}}} Distribute.



{{{y-2=4y-32}}} Combine like terms on the right side.



{{{y=4y-32+2}}} Add {{{2}}} to both sides.



{{{y-4y=-32+2}}} Subtract {{{4y}}} from both sides.



{{{-3y=-32+2}}} Combine like terms on the left side.



{{{-3y=-30}}} Combine like terms on the right side.



{{{y=(-30)/(-3)}}} Divide both sides by {{{-3}}} to isolate {{{y}}}.



{{{y=10}}} Reduce.



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Answer:


So the answer is {{{y=10}}}