Solve for y: 23-12×(-5)+y÷7+[21-4]=107 Order of Operations Challenge

Question

What is the number that should replace y?

2312×(5)+y ⁣:7+[214]=107 23-12\times(-5)+y\colon7+\lbrack21-4\rbrack=107

Video Solution

Solution Steps

00:00 Let's solve parentheses and multiplication first
00:31 A minus of a minus is a plus
00:46 Let's perform the addition operations in the exercise
01:20 Subtract 100 from both sides to isolate the variable
01:36 Multiply by 7 to find Y

Step-by-Step Solution

We begin by solving the multiplication exercise:

12×(5)=60 12\times(-5)=-60

and subsequently the exercises within brackets:

214=17 21-4=17

We obtain the following:

23(60)+y:7+17=107 23-(-60)+y:7+17=107

Keep in mind that a negative times a negative becomes a positive:

23+60+y:7+17=107 23+60+y:7+17=107

Next we simplify and add:

23+60=83 23+60=83

83+17=100 83+17=100

We obtain the following calculation:

100+y:7=107 100+y:7=107

We then rearrange the sections:

y:7=107100 y:7=107-100

y7=7 \frac{y}{7}=7

Lastly we multiply by 7:

y=7×7=49 y=7\times7=49

Answer

49