Answer:
[tex]y = -7x -3[/tex]
Step-by-step explanation:
As you can see, this equation seems a little unorganized, correct? That's because equations normally follow a pattern in which they are organized.
In the case of linear equations, they have the [tex]y[/tex] isolated in one side, and the other side has the equation itself, therefore, we need to re-arrange the terms in a new order.
To do that, we need to first multiply the "7" with the elements inside the parenthesis, getting [tex]-7x+7[/tex], then bring the [tex]-4[/tex] to the other side as [tex]+4[/tex], and finally do the addition and get the final result.
[tex]y - 4 = -7(x+1)\\y -4 = -7x -7 \\y = -7x -7 +4 \\y = -7x -3[/tex]
As you can see, this form respects the linear equation standard form, since each element has its equivalent on the standard form.