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Math  /  Algebra

Question0.25(23y−5+13y−7−9y)=0.25(□y−□?)0.25\left(\frac{2}{3} y-5+\frac{1}{3} y-7-9 y\right)=0.25(\square y-\square ?)

Studdy Solution

STEP 1

1. We need to simplify the expression inside the parentheses.
2. The expression involves combining like terms.
3. The goal is to rewrite the expression in the form 0.25(□y−□?)0.25(\square y - \square ?).

STEP 2

1. Simplify the expression inside the parentheses by combining like terms.
2. Rewrite the simplified expression in the desired form.

STEP 3

Identify and combine the like terms involving y y in the expression:
23y+13y−9y \frac{2}{3} y + \frac{1}{3} y - 9y
Combine the coefficients of y y :
(23+13−9)y \left(\frac{2}{3} + \frac{1}{3} - 9\right) y
Calculate the sum:
23+13=1 \frac{2}{3} + \frac{1}{3} = 1
1−9=−8 1 - 9 = -8
So the combined term is:
−8y -8y

STEP 4

Combine the constant terms in the expression:
−5−7 -5 - 7
Calculate the sum:
−5−7=−12 -5 - 7 = -12

STEP 5

Rewrite the entire expression using the simplified terms:
0.25(−8y−12) 0.25(-8y - 12)
This matches the form 0.25(□y−□?)0.25(\square y - \square ?), where:
□y=−8y \square y = -8y □?=12 \square ? = 12

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