# Problem of the Week

## Updated at Aug 9, 2021 9:12 AM

How can we solve the equation $$4\times \frac{5}{4(3-y)}=5$$?

Below is the solution.

$4\times \frac{5}{4(3-y)}=5$

 1 Cancel $$4$$.$\frac{5}{3-y}=5$2 Multiply both sides by $$3-y$$.$5=5(3-y)$3 Divide both sides by $$5$$.$1=3-y$4 Subtract $$3$$ from both sides.$1-3=-y$5 Simplify  $$1-3$$  to  $$-2$$.$-2=-y$6 Multiply both sides by $$-1$$.$2=y$7 Switch sides.$y=2$Doney=2