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Chapter 6: Problem 60

Simplify each algebraic expression. \(6-5[8-(2 y-4)]\)

Short Answer

Expert verified
The simplified algebraic expression is \(10y-54\).

Step by step solution

01

Apply BIDMAS Rule

Start by simplifying the expression inside the inner-most brackets. So, \(8-(2 y-4)\) simplifies to \(8-2y+4\).
02

Continue Simplifying Expression

Afterwards the interior brackets, \(5[8-(2 y-4)] \), simplify to \(5[12-2y] = 60-10y.\)
03

Final Simplification

Finally, substitute this result back into the main expression. This results in the expression \(6-5[8-(2 y-4)]\) simplifying to \(6-60+10y\), which then simplifies to \(-54+10y\) or \(10y-54\).

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Most popular questions from this chapter

Use FOIL to find the products in Exercises 1-8. \((x+3)(x+5)\)

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Use FOIL to find the products. \((x+7)(x+2)\)

Explain how to multiply two binomials using the FOIL method. Give an example with your explanation.

Solve the quadratic equations by factoring. \(3 x^{2}-4 x=15\)
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