Question

Select an answer that corresponds to the correct sequence of steps to solve given equation 4y + 4 = 2y - 10

Answer 1

`y = - 7`

Explanation:

1. Subtract 2y from both sides.

`4y + 4 - 2y = - 10`

2. Simplify 4y + 4 - 2y to 2y + 4.

`2y + 4 = - 10`

3. Subtract 4 from both sides.

`2y = - 10 - 4`

4. Simplify -10 - 4 to -14.

`2y = - 14`

5. Divide both sides by 2.

`y = - (14)/(2)`

6. Simplify 14/2 to to 7.

`y = - 7`

Therefor, the answer is, Y = -7

Answer 2

y = -7

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

1. Brackets
2. Parenthesis
3. Exponents
4. Multiplication
5. Division
6. Addition
7. Subtraction

• Left to Right

Equality Properties

• Multiplication Property of Equality
• Division Property of Equality
• Addition Property of Equality
• Subtraction Property of Equality

Algebra I

• Terms/Coefficients

Explanation:

Step 1: Define

4y + 4 = 2y - 10

Step 2: Solve for y

1. [Subtraction Property of Equality] Subtract 2y on both sides: 2y + 4 = -10
2. [Subtraction Property of Equality] Subtract 4 on both sides: 2y = -14
3. [Division Property of Equality] Divide 2 on both sides: y = -7