Problem 60
Question
Simplify each algebraic expression. $$7(3 y+5)+(-25 y)$$
Step-by-Step Solution
Verified Answer
The simplified form of the algebra expression is \(-4y + 35\)
1Step 1: 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.
2Step 2: 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.
Other exercises in this chapter
Problem 60
Simplify each algebraic expression. $$2(5 x+4)-3$$
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Write each sentence as an equation. Let the variable \(x\) represent the number. Five times a number is 35
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Simplify each series of additions and subtractions. $$-823-146-50-(-832)$$
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