Problem of the Week

Updated at Mar 18, 2019 5:40 PM

This week's problem comes from the equation category.

How would you solve the equation $$5-\frac{4}{4(2+y)}=\frac{29}{6}$$?

Let's begin!

$5-\frac{4}{4(2+y)}=\frac{29}{6}$

 1 Cancel $$4$$.$5-\frac{1}{2+y}=\frac{29}{6}$2 Subtract $$5$$ from both sides.$-\frac{1}{2+y}=\frac{29}{6}-5$3 Simplify $$\frac{29}{6}-5$$ to $$-\frac{1}{6}$$.$-\frac{1}{2+y}=-\frac{1}{6}$4 Multiply both sides by $$2+y$$.$-1=-\frac{1}{6}(2+y)$5 Simplify $$\frac{1}{6}(2+y)$$ to $$\frac{2+y}{6}$$.$-1=-\frac{2+y}{6}$6 Multiply both sides by $$6$$.$-1\times 6=-2-y$7 Simplify $$-1\times 6$$ to $$-6$$.$-6=-2-y$8 Add $$2$$ to both sides.$-6+2=-y$9 Simplify $$-6+2$$ to $$-4$$.$-4=-y$10 Multiply both sides by $$-1$$.$4=y$11 Switch sides.$y=4$Doney=4