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

Sagot :

Spaceidn

Answer:

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

Step-by-step 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

Answer:

[tex]y = - 7[/tex]

Step-by-step explanation:

1. Subtract 2y from both sides.

[tex]4y + 4 - 2y = - 10[/tex]

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

[tex]2y + 4 = - 10[/tex]

3. Subtract 4 from both sides.

[tex]2y = - 10 - 4[/tex]

4. Simplify -10 - 4 to -14.

[tex]2y = - 14[/tex]

5. Divide both sides by 2.

[tex]y = - \frac{14}{2} [/tex]

6. Simplify 14/2 to to 7.

[tex]y = - 7[/tex]

Therefor, the answer is, Y = -7

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