Respuesta :
Using the distributive property on the left side of the equation results in an equivalent equation.
Answer:
The given equation is
[tex]\frac{1}{2}\times (2y+4)= -6[/tex]
Tonya's first step
Use Distributive property, which states that
[tex]\rightarrow a\times (b \pm c)=a \times b \pm a \times c\\\\\rightarrow \frac{1}{2} \times 2y+ \frac{1}{2} \times 4=-6\\\\\rightarrow y+2=-6\\\\\rightarrow y=-8[/tex]
Deon's first step
Multiply both sides by 2
[tex]\rightarrow 2 \times [\frac{1}{2}\times (2y+4)]=2 \times (-6)\\\\ \rightarrow 2 y+4=-12\\\\\rightarrow 2y= -12-4\\\\\rightarrow 2y= -16\\\\\rightarrow y= -8[/tex]
Both of these methods that is Method adopted by Tonya or Deon will result in an equivalent equation.