Answer:
y = (2/5) OR y = (6/5)
Step-by-step explanation:
The first step is isolating the expression within the absolute value bars. The first thing we can do is subtract both sides by 8. If we do that, we get -2|4-5y| = -4. Now, to completely isolate the absolute value, we would have to divide by -2. This yields |4 - 5y| = 2. Finally, we can remove the absolute value bars. However, to do this, we need to first understand what an absolute value bar does to an equation. Lets say that |x| = 2. Absolute value describes the DISTANCE of some quantity from 0 (on the number line). Therefore, x (which is inside the absolute value bars) can be either positive or negative 2 (they are BOTH two units away from 0). Similarly, in this case, (4 - 5y) can either be 2 or -2 (because the absolute value of both is 2). Now we have two possible solutions to solve for:
4 - 5y = 2 OR 4 - 5y = -2
5y = 2 OR 5y = 6
y = (2/5) OR y = (6/5)
If we plug both of these answers back into the equation we can see that they both check out.
Answer:
Solving the equation 
for variable n we get 
Step-by-step explanation:
We need to solve the equation for variable n
Solving:
Subtract both sides by 6p
Switch sides of equality
Divide both sides by 3
So, solving the equation for variable n we get
Answer: −2.4f − 22
Step-by-step explanation: simply combine like terms. -2.7f + .3f would be -2.4f, and -14 - 8 is -22.
<h2>
Explanation:</h2><h2 />
When we say "a is at most b" we mean that "a is less than or equal to b" or "a is not greater than b". So let's solve this problem as follows:
Step 1. Twice the difference of a number and 2
Let's call that unknown number as n. Then, twice the difference of a number and 2 is:
Step 2. Twice the difference of a number and 2 is at most -27
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So the mathematical form of the statement <em>twice the difference of a number and 2 is at most -27 </em>is:
