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Pre-Algebra Examples Simplifying and Evaluating Expressions

Simplify

$(y^{2} + 6 y + 8) - (y^{2} + y - 12)$

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

$y^{2} + 6 y + 8 - y^{2} - y - - 12$

Step 1.2

Multiply $- 1$ by $- 12$ .

$y^{2} + 6 y + 8 - y^{2} - y + 12$

Step 2

Simplify by adding terms.

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Step 2.1

Combine the opposite terms in $y^{2} + 6 y + 8 - y^{2} - y + 12$ .

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Step 2.1.1

Subtract $y^{2}$ from $y^{2}$ .

$6 y + 8 + 0 - y + 12$

Step 2.1.2

Add $6 y + 8$ and $0$ .

$6 y + 8 - y + 12$

Step 2.2

Subtract $y$ from $6 y$ .

$5 y + 8 + 12$

Step 2.3

Add $8$ and $12$ .

$5 y + 20$

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Simplifying and Evaluating Expressions

More step-by-step Pre-Algebra examples from this chapter.

Simplifying Multiplication Polynomial Addition Polynomial Subtraction Polynomial Multiplication Polynomial Division Simplifying Expressions Evaluate the Expression Using the Given Values Multiplying Polynomials Using FOIL Identifying Degree Negative Exponents Evaluating Radicals

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$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$