0.06y+0.1(10000-y)=0.21y

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Solution for 0.06y+0.1(10000-y)=0.21y equation: 


Simplifying
0.06y + 0.1(10000 + -1y) = 0.21y
0.06y + (10000 * 0.1 + -1y * 0.1) = 0.21y
0.06y + (1000 + -0.1y) = 0.21y

Reorder the terms:
1000 + 0.06y + -0.1y = 0.21y

Combine like terms: 0.06y + -0.1y = -0.04y
1000 + -0.04y = 0.21y

Solving
1000 + -0.04y = 0.21y

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '-0.21y' to each side of the equation.
1000 + -0.04y + -0.21y = 0.21y + -0.21y

Combine like terms: -0.04y + -0.21y = -0.25y
1000 + -0.25y = 0.21y + -0.21y

Combine like terms: 0.21y + -0.21y = 0.00
1000 + -0.25y = 0.00

Add '-1000' to each side of the equation.
1000 + -1000 + -0.25y = 0.00 + -1000

Combine like terms: 1000 + -1000 = 0
0 + -0.25y = 0.00 + -1000
-0.25y = 0.00 + -1000

Combine like terms: 0.00 + -1000 = -1000
-0.25y = -1000

Divide each side by '-0.25'.
y = 4000

Simplifying
y = 4000

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