0.02y+0.12(6000-y)=0.40y

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Solution for 0.02y+0.12(6000-y)=0.40y equation: 


Simplifying
0.02y + 0.12(6000 + -1y) = 0.40y
0.02y + (6000 * 0.12 + -1y * 0.12) = 0.40y
0.02y + (720 + -0.12y) = 0.40y

Reorder the terms:
720 + 0.02y + -0.12y = 0.40y

Combine like terms: 0.02y + -0.12y = -0.1y
720 + -0.1y = 0.40y

Solving
720 + -0.1y = 0.40y

Solving for variable 'y'.

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

Add '-0.40y' to each side of the equation.
720 + -0.1y + -0.40y = 0.40y + -0.40y

Combine like terms: -0.1y + -0.40y = -0.5y
720 + -0.5y = 0.40y + -0.40y

Combine like terms: 0.40y + -0.40y = 0.00
720 + -0.5y = 0.00

Add '-720' to each side of the equation.
720 + -720 + -0.5y = 0.00 + -720

Combine like terms: 720 + -720 = 0
0 + -0.5y = 0.00 + -720
-0.5y = 0.00 + -720

Combine like terms: 0.00 + -720 = -720
-0.5y = -720

Divide each side by '-0.5'.
y = 1440

Simplifying
y = 1440

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