Question

How do you solve `5=5(y-2)` using the distributive property?

Answer 1

`color(green)(y=3)`
`color(white)("XXX")`see below for use of the distributive property in this solution

Explanation:

According to the distributive property
`color(white)("XXX")5(y-2)=5 * y - 5 * 2= 5y-10`

So
`color(white)("XXX")5=5(y-2)`
is equivalent to
`color(white)("XXX")5=5y-10`

Adding `10` to both sides:
`color(white)("XXX")15=5y`

Then dividing by `5`:
`color(white)("XXX")3=ycolor(white)("XXX")`or more commonly: `y=3`