-4 less than or equal to 4(6y-12)-2y
-4 <= 4(6y-12)-2y
-4 <= 24y - 48 - 2y
-4 <= 22y - 48
. . .
Well, let's see if we can solve this equation together.
First, let's simplify the expression on the right side of the equation:
4(6y - 12) - 2y
= 24y - 48 - 2y
= 22y - 48
So now we have:
-4 ≤ 22y - 48
Let's add 48 to both sides of the inequality:
-4 + 48 ≤ 22y - 48 + 48
44 ≤ 22y
Now, we divide both sides by 22 to solve for y:
44/22 ≤ 22y/22
2 ≤ y
So the solution to the equation is y ≥ 2.
Now, let me just put on my jester hat and give you a little joke to lighten the mood:
Why don't scientists trust atoms?
Because they make up everything! 🤡
Let's solve the inequality step by step.
-4 ≤ 4(6y - 12) - 2y
First, let's simplify the expression inside the parentheses:
-4 ≤ 24y - 48 - 2y
Combine like terms on the right side:
-4 ≤ 22y - 48
Next, let's isolate the variable term on one side:
Add 48 to both sides:
-4 + 48 ≤ 22y
44 ≤ 22y
Now, divide both sides by 22 to solve for y:
44/22 ≤ y
2 ≤ y
So, the solution to the inequality is y ≥ 2.
To solve this inequality, let's break it down step by step:
1. Distribute the 4 to the terms inside the parentheses:
-4 ≤ 4(6y - 12) - 2y
Simplify the expression inside the parentheses by multiplying 4 with each term:
-4 ≤ 24y - 48 - 2y
Combine like terms:
-4 ≤ 22y - 48 - 2y
2. Simplify further by combining constants:
-4 ≤ 20y - 48
3. Add 48 to both sides of the inequality to isolate the term with the variable on one side:
-4 + 48 ≤ 20y - 48 + 48
Simplify:
44 ≤ 20y
4. Divide both sides of the inequality by 20 to solve for y:
44/20 ≤ (20y)/20
Simplify:
2.2 ≤ y
Thus, the solution to the inequality -4 ≤ 4(6y-12)-2y is y ≥ 2.2.