Question

1/2y+4(y-8)=0 use the zero property

Answer 1

Answer:

$y=\frac{64}{9}$

Step-by-step explanation:

The given expression is $\frac{1}{2}y+4(y-8)=0$

We  Multiply through by 2 to get:

$2*\frac{1}{2}y+2*4(y-8)=0*2$

This gives us:

$y+8(y-8)=0$

Expand the parenthesis using the distributive property

$y+8y-64=0$

We add 64 to both sides to create a zero pair:

$y+8y-64+64=0+64$

The zero pair evaluates to zero:

$y+8y+0=0+64$

By the identity property  of addition, we get

$y+8y=64$

SImplify:

$9y=64$

Divide both sides by 9

$y=\frac{64}{9}$