When 4(9y − 5) = 10(3y + 17) − 40 is solved, the result is: A=20.
B=25.
C=-10.
D=10.

B = 25

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Distributive Property

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

Identify

4(9y - 5) = 10(3y + 17) - 40

Step 2: Solve for y

[Distributive Property] Distribute 4:                                                                 36y - 20 = 10(3y + 17) - 40[Distributive Property] Distribute 10:                                                               36y - 20 = 30y + 170 - 40Combine like terms:                                                                                         36y - 20 = 30y + 130[Subtraction Property of Equality] Subtract 30y on both sides:                    6y - 20 = 130[Addition Property of Equality] Add 20 on both sides:                                  6y = 150[Division Property of Equality] Divide 6 on both sides:                                  y = 25