Question

which expression is equivalent to -3(2y - 5)?
a -6y - 15
b -6y + 15
c -6y + 5
d -6y - 8

Explanation:

Step1: Apply the distributive property

To simplify \(-3(2y - 5)\), we use the distributive property \(a(b + c)=ab+ac\) (here \(a = - 3\), \(b=2y\), \(c=-5\)). So we have \(-3\times(2y)+(-3)\times(-5)\).

Step2: Calculate each term

First, \(-3\times(2y)=-6y\). Second, \((-3)\times(-5) = 15\). Combining these two terms, we get \(-6y + 15\).

Answer:

B. \(-6y + 15\)