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Chapter 1: Problem 60

Simplify each algebraic expression. $$7(3 y+5)+(-25 y)$$

Short Answer

Expert verified
The simplified form of the algebra expression is \(-4y + 35\)

Step by step solution

01

Distribute the multiplication across the parentheses

Multiply 7 with each term inside the parentheses, that is \(7 \times 3y\) and \(7 \times 5\), to get \(21y + 35\). The expression now becomes \(21y + 35 - 25y\). This step is following the distributive property of multiplication over addition.
02

Combine like terms

Combine the 'y' terms together and the constants together if there are any. Here we have \(21y\) and \(-25y\) only. Subtract \(25y\) from \(21y\), to get \(-4y\). Thus, the simplified version of the given expression is \(-4y + 35\).\nThis step is following the commutative property of addition.

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Most popular questions from this chapter

Perform the indicated subtraction. $$\frac{2}{5}-\frac{1}{10}$$

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