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1/2(y+8)+5=1/4(8y-14)-7
We simplify the equation to the form, which is simple to understand
1/2(y+8)+5=1/4(8y-14)-7
Simplifying:
+ 0.5*(y+8)+5=1/4*(8y-14)-7
Simplifying:
+ 0.5*(y+8)+5=0.25*(8y-14)-7
Reorder the terms in parentheses
+( + 0.5y+4)+5=0.25*(8y-14)-7
Remove unnecessary parentheses
+ 0.5y+4+5=0.25+*(+8y-14+)-7
Reorder the terms in parentheses
+ 0.5y+4+5=+(+2y-3.5)-7
Remove unnecessary parentheses
+ 0.5y+4+5=+2y-3.5-7
We move all terms containing y to the left and all other terms to the right.
+ 0.5y-2y=-3.5-7-4-5
We simplify left and right side of the equation.
-1.5y=-19.5
We divide both sides of the equation by -1.5 to get y.
y=13
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