0.08y+0.12(4000-y)=0.21y

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Solution for 0.08y+0.12(4000-y)=0.21y equation: 


Simplifying
0.08y + 0.12(4000 + -1y) = 0.21y
0.08y + (4000 * 0.12 + -1y * 0.12) = 0.21y
0.08y + (480 + -0.12y) = 0.21y

Reorder the terms:
480 + 0.08y + -0.12y = 0.21y

Combine like terms: 0.08y + -0.12y = -0.04y
480 + -0.04y = 0.21y

Solving
480 + -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.
480 + -0.04y + -0.21y = 0.21y + -0.21y

Combine like terms: -0.04y + -0.21y = -0.25y
480 + -0.25y = 0.21y + -0.21y

Combine like terms: 0.21y + -0.21y = 0.00
480 + -0.25y = 0.00

Add '-480' to each side of the equation.
480 + -480 + -0.25y = 0.00 + -480

Combine like terms: 480 + -480 = 0
0 + -0.25y = 0.00 + -480
-0.25y = 0.00 + -480

Combine like terms: 0.00 + -480 = -480
-0.25y = -480

Divide each side by '-0.25'.
y = 1920

Simplifying
y = 1920

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