Answer:
![y=(16)/(9)](https://img.qammunity.org/2021/formulas/mathematics/high-school/rvzb0ownk80vknirsff7f354f07cabbnzl.png)
Step-by-step explanation:
Given: –19y − 6y + 17y − –14 = –18
We have to isolate the variable (y) to get it by itself. Firstly, we'll get rid of the double negative.
–19y − 6y + 17y − –14 = –18
Subtracting a negative number by a negative number automatically means it's an addition sign.
–19y − 6y + 17y + 14 = –18
Now, let's add our common variables.
We have three.
–19y − 6y + 17y + 14 = –18
We get:
-18y + 14 = -18
The fourteen does not belong with the variable, so we'll move it to the other side. To do this, we'll subtract the fourteen on both sides of the equation.
-18y + 14 = -18
-14 -14
Now we have:
-18y = -32
The last step is to divide. In doing so, the quotient is:
![y=(16)/(9)](https://img.qammunity.org/2021/formulas/mathematics/high-school/rvzb0ownk80vknirsff7f354f07cabbnzl.png)