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Math  /  Algebra

Question3(4y−5)−(7y+2)3(4 y-5)-(7 y+2)

Studdy Solution

STEP 1

1. We are given an algebraic expression to simplify.
2. The expression involves distribution and combining like terms.

STEP 2

1. Distribute the constants across the terms inside the parentheses.
2. Combine like terms to simplify the expression.

STEP 3

Distribute the constant 33 across the terms inside the first set of parentheses:
3(4y−5)=3×4y−3×5=12y−15 3(4y - 5) = 3 \times 4y - 3 \times 5 = 12y - 15
Distribute the negative sign across the terms inside the second set of parentheses:
−(7y+2)=−1×7y−1×2=−7y−2 -(7y + 2) = -1 \times 7y - 1 \times 2 = -7y - 2

STEP 4

Combine the like terms from the results of the distributions:
12y−15−7y−2 12y - 15 - 7y - 2
Combine the yy terms:
12y−7y=5y 12y - 7y = 5y
Combine the constant terms:
−15−2=−17 -15 - 2 = -17
The simplified expression is:
5y−17 5y - 17

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