Question

solve.
$5y + 3(y - 8) = 5(y + 1) - 3$

select the correct choice below and, if necessary, fill in the answer box to complete your choice.

a. $y = \square$ (simplify your answer.)
b. the solution is the set of all real numbers.
c. there is no solution.

Explanation:

Step1: Expand all parentheses

$5y + 3y - 24 = 5y + 5 - 3$

Step2: Combine like terms on both sides

$8y - 24 = 5y + 2$

Step3: Isolate y terms on left

$8y - 5y - 24 = 2$
$3y - 24 = 2$

Step4: Isolate constant terms on right

$3y = 2 + 24$
$3y = 26$

Step5: Solve for y

$y = \frac{26}{3}$

Answer:

A. $y=\frac{26}{3}$ (Simplify your answer.)