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3/4(y+1/6)=-3/4(y-1/2)
We simplify the equation to the form, which is simple to understand
3/4(y+1/6)=-3/4(y-1/2)
Simplifying:
+ 0.75*(y+1/6)=-3/4*(y-1/2)
Simplifying:
+ 0.75*(y + 0.166666666667)=-3/4*(y-1/2)
Simplifying:
+ 0.75*(y + 0.166666666667)=-0.75*(y-1/2)
Simplifying:
+ 0.75*(y + 0.166666666667)=-0.75*(y-0.5)
Reorder the terms in parentheses
+( + 0.75y + 0.125)=-0.75*(y-0.5)
Remove unnecessary parentheses
+ 0.75y + 0.125=-0.75+*(+y-0.5+)
Reorder the terms in parentheses
+ 0.75y + 0.125=+(-0.75y + 0.375)
Remove unnecessary parentheses
+ 0.75y + 0.125=-0.75y + 0.375
We move all terms containing y to the left and all other terms to the right.
+ 0.75y + 0.75y=0.375-0.125
We simplify left and right side of the equation.
+1.5y=0.25
We divide both sides of the equation by 1.5 to get y.
y=0.166666666667
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