Question

-12/7 = 6y solve for y and simplify your answer as much as possible

Answer 1

`\displaystyle y = (-2)/(7)`

Explanation:

To solve, we will isolate the variable.

Given:

-12/7 = 6y

Divide:

`\displaystyle ((-12)/(7) )/(6) =(6y)/(6)`

Simplify the right side:

`\displaystyle ((-12)/(7) )/(6) =y`

"Keep, change, flip" on the left side:

`\displaystyle (-12)/(7) *(1)/(6) = y`

Multiply:

`\displaystyle (-12*1)/(7*6)= y`

`\displaystyle (-12)/(42)= y`

Simplify and reflexive property:

`\displaystyle y = (-2)/(7)`