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- https://math.libretexts.org/Courses/Nova_Scotia_Community_College/MATH_1043/02%3A_Algebra/2.02%3A_The_Fundamentals_of_Algebra/2.2.04%3A_Simplifying_Algebraic_ExpressionsThe commutative property allows us to change the order of multiplication without affecting the product or answer. The associative property allows us to regroup without affecting the product or answer.
- https://math.libretexts.org/Courses/Barton_Community_College/Book%3A_Technical_Mathematics_(Turner)/06%3A_The_Fundamentals_of_Algebra/6.03%3A_Simplifying_Algebraic_Expressions\[ \begin{aligned} -5(4-3y) = -5(4)-(-5)(3y) ~ & \textcolor{red}{ \text{ Distribute multiplication by }-5.} \\ = -20-(-15y) ~ & \textcolor{red}{ \text{ Multiply: } -5(4) = -20 \text{ and } -5(3y) = -1... \begin{aligned} -5(4-3y) = -5(4)-(-5)(3y) ~ & \textcolor{red}{ \text{ Distribute multiplication by }-5.} \\ = -20-(-15y) ~ & \textcolor{red}{ \text{ Multiply: } -5(4) = -20 \text{ and } -5(3y) = -15y.} \\ = - 18t - 63 ~ & \textcolor{red}{ \text{ Write the answer in simpler form.}} \\ ~ & \textcolor{red}{ \text{ Subtracting } -15y \text{ is the same as adding } 15y.} \end{aligned}\nonumber
- https://math.libretexts.org/Courses/Las_Positas_College/Foundational_Mathematics/02%3A_Integers/2.13%3A_Simplifying_(Still_Not_Solving)_Algebraic_Expressions)/2.13.01%3A_Simplifying_Algebraic_Expressions\[ \begin{aligned} -5(4-3y) = -5(4)-(-5)(3y) ~ & \textcolor{red}{ \text{ Distribute multiplication by }-5.} \\ = -20-(-15y) ~ & \textcolor{red}{ \text{ Multiply: } -5(4) = -20 \text{ and } -5(3y) = -1... \begin{aligned} -5(4-3y) = -5(4)-(-5)(3y) ~ & \textcolor{red}{ \text{ Distribute multiplication by }-5.} \\ = -20-(-15y) ~ & \textcolor{red}{ \text{ Multiply: } -5(4) = -20 \text{ and } -5(3y) = -15y.} \\ = - 18t - 63 ~ & \textcolor{red}{ \text{ Write the answer in simpler form.}} \\ ~ & \textcolor{red}{ \text{ Subtracting } -15y \text{ is the same as adding } 15y.} \end{aligned}\nonumber
- https://math.libretexts.org/Courses/Western_Technical_College/PrePALS_PreAlgebra/04%3A_Introduction_to_Algebra/4.03%3A_Simplifying_Algebraic_ExpressionsThe commutative property allows us to change the order of multiplication without affecting the product or answer. The associative property allows us to regroup without affecting the product or answer.
- https://math.libretexts.org/Courses/Honolulu_Community_College/Math_75X%3A_Introduction_to_Mathematical_Reasoning_(Kearns)/04%3A_Fundamentals_of_Algebra/4.04%3A_Simplifying_(Still_Not_Solving)_Algebraic_Expressions)/4.4.00%3A_Simplifying_Algebraic_Expressions\[ \begin{aligned} -5(4-3y) = -5(4)-(-5)(3y) ~ & \textcolor{red}{ \text{ Distribute multiplication by }-5.} \\ = -20-(-15y) ~ & \textcolor{red}{ \text{ Multiply: } -5(4) = -20 \text{ and } -5(3y) = -1... \begin{aligned} -5(4-3y) = -5(4)-(-5)(3y) ~ & \textcolor{red}{ \text{ Distribute multiplication by }-5.} \\ = -20-(-15y) ~ & \textcolor{red}{ \text{ Multiply: } -5(4) = -20 \text{ and } -5(3y) = -15y.} \\ = - 18t - 63 ~ & \textcolor{red}{ \text{ Write the answer in simpler form.}} \\ ~ & \textcolor{red}{ \text{ Subtracting } -15y \text{ is the same as adding } 15y.} \end{aligned}\nonumber
- https://math.libretexts.org/Courses/Western_Technical_College/PrePALS_Math_with_Business_Apps/04%3A_Introduction_to_Algebra/4.03%3A_Simplifying_Algebraic_ExpressionsThe commutative property allows us to change the order of multiplication without affecting the product or answer. The associative property allows us to regroup without affecting the product or answer.
