3.6y = 1.6y + 24
Help

y = 12

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition 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

3.6y = 1.6y + 24

Step 2: Solve for y

[Subtraction Property of Equality] Subtract 1.6y on both sides:                  2y = 24[Division Property of Equality] Divide 2 on both sides:                                y = 12

Step 3: Check

Plug in y into the original equation to verify it's a solution.

Substitute in y:                                                                                                3.6(12) = 1.6(12) + 24Multiply:                                                                                                           43.2 = 19.2 + 24Add:                                                                                                                 43.2 = 43.2

Here we have 43.2 does indeed equal 43.2.

∴ y = 12 is the solution to the equation.