Final answer:
To solve the inequality 4 (y -3) ≤ 4 (2y + 1) algebraically, distribute and isolate the variable y to find the solution.
Step-by-step explanation:
To solve the inequality algebraically, start by distributing the 4 on both sides of the inequality:
4y - 12 ≤ 8y + 4
Next, isolate the variable y on one side by subtracting 4y from both sides:
-12 ≤ 4y + 4
-12 - 4 ≤ 4y
-16 ≤ 4y
Finally, divide both sides of the inequality by 4 to solve for y:
-4 ≤ y
The solution is y ≥ -4.
Learn more about Solving algebraic inequalities