Chapter 4.5, Problem 10CYU

To determine

To solve and check: the given equation

Answer to Problem 10CYU

The required solution is $y=10$

Explanation of Solution

Given: $-4=8y-9y+6$

Calculation:

To solve equation and check the solution

  $-4=8y-9y+6$

Add like terms

  $-4=-y+6$

Add both sides of equation with $-6$

  $\begin{array}{l}-4-6=-y+6-6\\ -10=-y\end{array}$

Divide both sides of equation by $-1$

  $y=10$

Solution:- $y=10$

Check

Substitute $y=10$ in $-4=8y-9y+6$

  $\begin{array}{l}-4=8(10)-9(10)+6\\ -4=80-90+6\\ -4=-4\end{array}$

Hence verified .So solution is $y=10$ .

Conclusion:

The required solution is $y=10$