Respuesta :
Answer:
The value of the provide equation is y=5.
Step-by-step explanation:
Consider the provided equation.
[tex]4y=38-\frac{1}{2}(4y+16)[/tex]
Use the distributive property: [tex]a(b+c)=ab+ac [/tex]
[tex]4y=38-\frac{1}{2}\times 4y-\frac{1}{2}\times 16[/tex]
[tex]4y=38-2y-8[/tex]
[tex]4y=30-2y[/tex]
Add 2y to both the sides
[tex]4y+2y=30-2y+2y[/tex]
[tex]6y=30[/tex]
Divide both the sides by 6.
[tex]y=5[/tex]
Hence, the value of the provide equation is y=5.
