–3(y − 14) + –11 = –20

We are given the equation -3(y - 14) + -11 = -20 and must solve for y. Before beginning to solve for y however, something to get out of the way is just in dealing with "+ -11", which can be changed into just "-11", which starts us off with the equation -3(y -14) -11 = -20. Now to begin solving.

The first step in solving for y is to distribute the -3 to both the y and the -14. This leaves us with the equation -3y + 42 -11 = -20.

The next step in solving for y is to combine like terms, so in this case add 42 to -11, or subtract 11 from 42. This equals 31 and because of this we are now given the equation -3y + 31 = -20.

The third step in solving for y is to get y by itself. There are actually two parts to this step, the first being getting -3y by itself, and the other being turning -3y into just y. For the first part of this step (getting -3y by itself), subtract 31 from each side of the equation. After completing the first part of this step, we now have the equation -3y = -51. Now for the second step, divide both sides of the equation, or just the whole equation, by -3. -3y divided by -3 equals just y, and -51 divided by -3 equals 17. This now gives us the equation y = 17 which is the answer. The value of y is 17.

-Show work-

[tex]-3(y-14)+-11=-20[/tex]

[tex]-3(y-14)-11=-20[/tex]

[tex]-3(y)+ -3(-14) -11 = -20[/tex]

[tex]-3y + 42 -11 = -20[/tex]

[tex]-3y+31=-20[/tex]

[tex]-3y +(31-31)=(-20-31)[/tex]

[tex]-3y = -51[/tex]

[tex]\frac{-3y = -51}{-3}[/tex]

[tex]y=17[/tex]

Hope this helps! Have a great day!