Remove the brackets and simplify: $3 (y + z) - 2 (3 y - 6)$ .

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Solution

SImplifying the algebraic expression
Simplification rule: If there is a $" - "$ sign before a bracket, then the signs of all the terms inside the bracket changes but if there is a $“ + ”$ sign before the bracket, then no change of signs.
$\begin{array}{rcl} 3 (y + z) - 2 (3 y - 6) & = & 3 y + 3 z - 6 y + 12 \\ = & 3 y - 6 y + 3 z + 12 \\ = & - 3 y + 3 z + 12 \end{array}$
Therefore, the simplifies expression is $- 3 y + 3 z + 12$ .

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