Question

Simplify the following expression and evaluate them as directed:
 3y(2y — 7) — 3(y — 4) — 63 for y = -2

Answer 1

Hint -This above question can be solved just by handling the equation and with the help of the value of y we can find the requested data.Here the expression is in variable y, So for the value of expression we just put the value of y in the given expression.

Complete step-by-step solution -
=3y(2y — 7) — 3(y — 4) — 63
 Now opening the brackets, we get
$\begin{gathered}
  6{y^2} - 21y - 3y + 12 - 63 \\
  6{y^2} - 19 y + 51 \\
\end{gathered} $
Now in the above data we have the value of y= -2
Now we have a definite equation, hence we can place the value of y in the equation and find an value
So, $6{\left( { - 2} \right)^2} - 19\left( { - 2} \right) + 51$
6(4)+38+51=113
Hence, by simplifying the above equation we got our answer.

Note. These kinds of questions can easily be solved with the help of the basics finding the solution of any solvable equation and then we get the provided value of any variable like the value of x and y. By placing them in the equation we finally get the answer.