Chapter 10.7, Problem 34CCR

To determine

To calculate: The given equation is to be solved.

Answer to Problem 34CCR

All real numbers, $\left(-\infty ,\infty \right)$

Explanation of Solution

Given information: Equation is $3y+8-y=2\left(y+4\right)$

Formula used: Distributive Property:

Multiplying each number in the difference before subtracting

Calculation: $3y+8-y=2\left(y+4\right)$

  $3y+8-y=2y+8$ (Distributive property)

  $2y+8=2y+8$ (Simplify)

  $2y+8-2y=2y+8-2y$ (Subtract $2y$ from both sides)

  $8=8$

Above statement will always be true. Equation has solution of all real numbers.