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4(y+2)=5(y-7)
We simplify the equation to the form, which is simple to understand
4(y+2)=5(y-7)
Reorder the terms in parentheses
+(+4y+8)=5*(y-7)
Remove unnecessary parentheses
+4y+8=+5+*(+y-7+)
Reorder the terms in parentheses
+4y+8=+(+5y-35)
Remove unnecessary parentheses
+4y+8=+5y-35
We move all terms containing y to the left and all other terms to the right.
+4y-5y=-35-8
We simplify left and right side of the equation.
-1y=-43
We divide both sides of the equation by -1 to get y.
y=43
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