The absolute value of an integer is the distance from zero. So, another way of thinking of is to ignore positive or negative. for example the absolute value of -126 is 126, same would go for positive 126.
The error is in step 2. if you are performing an operation on one side of the equation, it must be performed on the entire expression. you can’t only divide by 2 on one term, you must do it to everything in the equation. instead, you could add 6 to both sides first, giving you 2x = -4. Then you can divide by 2 on both sides. the answer is -2.
Answer:
6x=48
7y-1=48 (im assuming the y is on the 7.)
48/6=8=x
48-1=47/7=6.7=y
Answer:
The 45% off discount saves an additional $10 compared to the 15% discount for a total of $15 off regular price.
Step-by-step explanation:
We can find the original price of the game through a proportion. A proportion is an equation where two ratios or fractions are equal. The ratios or fractions compare like quantities. For example, we will compare percent over percent to an equal ratio of $ to $. Since 15% of 100% is the same ratio as $5 to the unknown original $ price, I write:

I can now cross-multiply by multiplying numerator and denominator from each ratio.

I now solve for y by dividing by 15.

The original price was $33.34.
Now, we can find the amount if 45% off and then then compare the two discounts. To find the percent off I can multiply by 0.45(33.34)=15. The 45% off discount saves an additional $10 compared to the 15% discount.
A negative divided by a negative is a positive, so -14/-2 = 7
Hope this helped!