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4(y+2)=8(y-4)+7
We simplify the equation to the form, which is simple to understand
4(y+2)=8(y-4)+7
Reorder the terms in parentheses
+(+4y+8)=8*(y-4)+7
Remove unnecessary parentheses
+4y+8=+8+*(+y-4+)+7
Reorder the terms in parentheses
+4y+8=+(+8y-32)+7
Remove unnecessary parentheses
+4y+8=+8y-32+7
We move all terms containing y to the left and all other terms to the right.
+4y-8y=-32+7-8
We simplify left and right side of the equation.
-4y=-33
We divide both sides of the equation by -4 to get y.
y=8.25
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