4.5 - 7 = 2(y + 2.25) + 6.6

give me the 4 solving steps and 4 propertys used

1 answer

To solve the equation 4.57=2(y+2.25)+6.6, we can follow these steps:

Step 1: Simplify the left-hand side

Calculate 4.57.

4.57=2.5

Now, the equation is:

2.5=2(y+2.25)+6.6

Property Used: Subtraction of real numbers.

Step 2: Simplify the right-hand side

Distribute 2 into y+2.25.

2(y+2.25)=2y+4.5

Now, the equation will look like:

2.5=2y+4.5+6.6

Property Used: Distributive property.

Step 3: Combine like terms on the right-hand side

Add 4.5 and 6.6.

4.5+6.6=11.1

Thus, we have:

2.5=2y+11.1

Property Used: Addition of real numbers.

Step 4: Isolate y

Subtract 11.1 from both sides:

2.511.1=2y

13.6=2y

Now, divide both sides by 2:

y=13.62=6.8

Property Used: Addition and division of real numbers.

Summary of Properties Used:

  1. Subtraction of real numbers: To simplify 4.57.
  2. Distributive property: To distribute 2 across y+2.25.
  3. Addition of real numbers: To combine 4.5 and 6.6.
  4. Division of real numbers: To solve for y after isolating it.

The final solution is: y=6.8