Question

Simplify each expression.

$\left(3y-11\right)-\left(6y+12\right)$

Short answer

The simplified form of the expression is $-3y-23$.

Step-by-step solution

Step-1 – Apply the concept of like terms

In an expression, the terms containing the same variable are like terms.

Step-2 – Example for the like terms

In the expression $4p-2q+p+3q$, the like terms are the terms which contain variable. So, the terms containing the variable p are $4p\text{and}p$ and the terms containing the variable q $-2q\text{and}3q$.

Step-3 – Simplify the expression

Consider the provided expression.

$\left(3y-11\right)-\left(6y+12\right)$

Open the brackets. Recall that negative sign when multiplied with positive results in negative sign.

$\left(3y-11\right)-\left(6y+12\right)=3y-11-6y-12$

Group the like terms. Constant terms together and terms with variable x together

$\begin{array}{l}(3y-11)-(6y+12)=3y-11-6y-12\\ =3y-6y-11-12\\ =-3y-23\end{array}$

Hence, the simplified form of the expression $\left(3y-11\right)-\left(6y+12\right)$ is $-3y-23$.