# Problem of the Week

## Updated at Aug 26, 2019 12:46 PM

For this week we've brought you this equation problem.

How would you solve the equation $${(\frac{5}{5}y)}^{2}+6=22$$?

Here are the steps:

${(\frac{5}{5}y)}^{2}+6=22$

 1 Cancel $$5$$.${(1\times y)}^{2}+6=22$2 Simplify  $$1\times y$$  to  $$y$$.${y}^{2}+6=22$3 Subtract $$6$$ from both sides.${y}^{2}=22-6$4 Simplify  $$22-6$$  to  $$16$$.${y}^{2}=16$5 Take the square root of both sides.$y=\pm \sqrt{16}$6 Since $$4\times 4=16$$, the square root of $$16$$ is $$4$$.$y=\pm 4$Doney=4,-4