Question

12/7 = -6y

I have to find the value of y
Can someone explain?

Answer 1

\[-6y = \frac{12}{7}\]

Answer 2

Can you explain?

Answer 3

Wait, I have not done anything yet.

Answer 4

See, can you see we want to get \(y\), but \(y\) is not alone, \(-6\) os our enemy, it is not leaving \(y\) for us, getting?

Answer 5

mhm.. but Im still not exactly sure how to solve..

Answer 6

For that I am here, just tell me what I am saying to you, are you getting?

Answer 7

so far, yes

Answer 8

So, we need to get rid of \(-6\)..

See, when we divide by -6, on both the sides, then what will you get?

Answer 9

I show you:
\[\frac{-6y}{-6} = \frac{\frac{12}{7}}{-6}\]

Answer 10

I have divided by \(-6\) both the sides.

Answer 11

Okay up to here?

Answer 12

Mhm

Answer 13

So, on left hand side, \(-6\) and \(-6\) will get cancelled, giving you your \(y\).

Answer 14

\[\frac{\cancel{-6}y}{\cancel{-6}} = \frac{\frac{12}{7}}{-6} \implies y= \frac{\frac{12}{7}}{-6}\]

Answer 15

The right hand side can be simplified more.

Answer 16

\[y = \frac{\frac{12}{7}}{-6} \implies y = \frac{12}{7 \times (-6)} \implies y = \frac{\cancel{12}^2}{7 \times (- \cancel{6}^1)} \implies \color{green}{y = \frac{-2}{7}}\]