0.09y+0.13(2000-y)=0.46y

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Solution for 0.09y+0.13(2000-y)=0.46y equation: 


Simplifying
0.09y + 0.13(2000 + -1y) = 0.46y
0.09y + (2000 * 0.13 + -1y * 0.13) = 0.46y
0.09y + (260 + -0.13y) = 0.46y

Reorder the terms:
260 + 0.09y + -0.13y = 0.46y

Combine like terms: 0.09y + -0.13y = -0.04y
260 + -0.04y = 0.46y

Solving
260 + -0.04y = 0.46y

Solving for variable 'y'.

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

Add '-0.46y' to each side of the equation.
260 + -0.04y + -0.46y = 0.46y + -0.46y

Combine like terms: -0.04y + -0.46y = -0.5y
260 + -0.5y = 0.46y + -0.46y

Combine like terms: 0.46y + -0.46y = 0.00
260 + -0.5y = 0.00

Add '-260' to each side of the equation.
260 + -260 + -0.5y = 0.00 + -260

Combine like terms: 260 + -260 = 0
0 + -0.5y = 0.00 + -260
-0.5y = 0.00 + -260

Combine like terms: 0.00 + -260 = -260
-0.5y = -260

Divide each side by '-0.5'.
y = 520

Simplifying
y = 520

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