Question

Simplify the expression$5(2y+3)-(4y-1)$

Short answer

The simplified form of the given expression is$6y+16$

Step-by-step solution

Step1:Given information

Given expression is$5(2y+3)-(4y-1)$.

By applying the distributive property simplify the expression.

Step2:Decription of distributive property 

Distributive property: if a , b, c are real numbers then$$\begin{gathered} a(b+c)=ab+ac \\ a(b-c)=ab-ac \end{gathered}$$

Step 3:Simplifying the expression

Using the distributive property we can write $$\begin{gathered} 5(2y+3)-(4y-1)=5\times 2y+5\times 3-4y-(-1) \\ =10y+15-4y+1 \\ =10y-4y+15+1 \\ =6y+16 \end{gathered}$$

Here combined like terms using the commutative property of addition.