If y = 0.25(100 - y), then what is the value of y?
F
200
G
75
H
25
J
20
K
18

20

Step-by-step explanation:

y = 0.25(100 - y)

Distribute

y = 25 - .25y

Add .25y to each side

y+.25y = 25

1.25y = 25

Divide each side by 1.25

1.25y/1.25 = 25/1.25

y = 20

The correct/valid answer is 20.

Step-by-step explanation:

Step 1: Multiply both sides by 100

y*100 = 0.25(100-y)*100

Step 2: Refine

y*100 = 25 (100-y)

Step 3: Expand 25(100-y) : 2500 - 25y

y*100 = 2500-25y

Step 4: Add 25y to both sides of the givn equation

y*100+25y = 2500-25y+25y

Step 5: Simplify the equation

125y = 2500

Step 6: Divide both sides of the equation by 125

125y/125 = 2500/125

Final step: Simplify

y=20

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