Question

Find the difference: $(4y+3)-(2y-9)$

Answer 1

Subtraction of algebraic expression :

The given expression is $(4y+3)-(2y-9)$

$\begin{array}{rcl}(4\mathrm{y}+3)-(2\mathrm{y}-9)& =& (4\mathrm{y}+3)+(-2\mathrm{y}+9)\{\mathrm{Add}\mathrm{opposites}\}\\ & =& 4\mathrm{y}-2\mathrm{y}+9+3\{\mathrm{Commutative}\mathrm{property}\}\\ & =& 2\mathrm{y}+12\{\mathrm{Combine}\mathrm{like}\mathrm{terms}\}\end{array}$

Hence, thw required difference is $2y+12$