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1/2(y+5)+3=1/4(7y-11)-8
We simplify the equation to the form, which is simple to understand
1/2(y+5)+3=1/4(7y-11)-8
Simplifying:
+ 0.5*(y+5)+3=1/4*(7y-11)-8
Simplifying:
+ 0.5*(y+5)+3=0.25*(7y-11)-8
Reorder the terms in parentheses
+( + 0.5y+2.5)+3=0.25*(7y-11)-8
Remove unnecessary parentheses
+ 0.5y+2.5+3=0.25+*(+7y-11+)-8
Reorder the terms in parentheses
+ 0.5y+2.5+3=+(+1.75y-2.75)-8
Remove unnecessary parentheses
+ 0.5y+2.5+3=+1.75y-2.75-8
We move all terms containing y to the left and all other terms to the right.
+ 0.5y-1.75y=-2.75-8-2.5-3
We simplify left and right side of the equation.
-1.25y=-16.25
We divide both sides of the equation by -1.25 to get y.
y=13
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