0.002y+0.13(5000-y)=0.14y

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Solution for 0.002y+0.13(5000-y)=0.14y equation:


Simplifying
0.002y + 0.13(5000 + -1y) = 0.14y
0.002y + (5000 * 0.13 + -1y * 0.13) = 0.14y
0.002y + (650 + -0.13y) = 0.14y

Reorder the terms:
650 + 0.002y + -0.13y = 0.14y

Combine like terms: 0.002y + -0.13y = -0.128y
650 + -0.128y = 0.14y

Solving
650 + -0.128y = 0.14y

Solving for variable 'y'.

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

Add '-0.14y' to each side of the equation.
650 + -0.128y + -0.14y = 0.14y + -0.14y

Combine like terms: -0.128y + -0.14y = -0.268y
650 + -0.268y = 0.14y + -0.14y

Combine like terms: 0.14y + -0.14y = 0.00
650 + -0.268y = 0.00

Add '-650' to each side of the equation.
650 + -650 + -0.268y = 0.00 + -650

Combine like terms: 650 + -650 = 0
0 + -0.268y = 0.00 + -650
-0.268y = 0.00 + -650

Combine like terms: 0.00 + -650 = -650
-0.268y = -650

Divide each side by '-0.268'.
y = 2425.373134

Simplifying
y = 2425.373134

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