0.04y+0.12(4000-y)=0.42y

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Solution for 0.04y+0.12(4000-y)=0.42y equation: 


Simplifying
0.04y + 0.12(4000 + -1y) = 0.42y
0.04y + (4000 * 0.12 + -1y * 0.12) = 0.42y
0.04y + (480 + -0.12y) = 0.42y

Reorder the terms:
480 + 0.04y + -0.12y = 0.42y

Combine like terms: 0.04y + -0.12y = -0.08y
480 + -0.08y = 0.42y

Solving
480 + -0.08y = 0.42y

Solving for variable 'y'.

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

Add '-0.42y' to each side of the equation.
480 + -0.08y + -0.42y = 0.42y + -0.42y

Combine like terms: -0.08y + -0.42y = -0.5y
480 + -0.5y = 0.42y + -0.42y

Combine like terms: 0.42y + -0.42y = 0.00
480 + -0.5y = 0.00

Add '-480' to each side of the equation.
480 + -480 + -0.5y = 0.00 + -480

Combine like terms: 480 + -480 = 0
0 + -0.5y = 0.00 + -480
-0.5y = 0.00 + -480

Combine like terms: 0.00 + -480 = -480
-0.5y = -480

Divide each side by '-0.5'.
y = 960

Simplifying
y = 960

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