Math Problem Statement

y = 1/2(-8) - 3

Solution

Let's solve the equation step by step:

Given equation: y=12(8)3y = \frac{1}{2}(-8) - 3

  1. Multiply 12\frac{1}{2} by 8-8: 12×8=4\frac{1}{2} \times -8 = -4

  2. Subtract 3 from 4-4: y=43=7y = -4 - 3 = -7

So, the value of yy is 7-7.

Would you like more details on any part of this process? Here are some related questions to think about:

  1. What happens to the equation if you change 8-8 to another number?
  2. How would you solve a similar equation with different fractions?
  3. What is the general approach to solving linear equations like this one?
  4. How does changing the sign of a number inside the parentheses affect the result?
  5. What is the significance of each operation in the context of solving linear equations?

Tip: Always follow the order of operations (parentheses, exponents, multiplication/division, addition/subtraction) when solving equations to ensure accuracy.

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Math Problem Analysis

Mathematical Concepts

Linear Equations
Fraction Operations

Formulas

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Theorems

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Suitable Grade Level

Grades 6-8