-0.06y+0.10(500-y)=0.09y

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Solution for -0.06y+0.10(500-y)=0.09y equation: 


Simplifying
-0.06y + 0.10(500 + -1y) = 0.09y
-0.06y + (500 * 0.10 + -1y * 0.10) = 0.09y
-0.06y + (50 + -0.1y) = 0.09y

Reorder the terms:
50 + -0.06y + -0.1y = 0.09y

Combine like terms: -0.06y + -0.1y = -0.16y
50 + -0.16y = 0.09y

Solving
50 + -0.16y = 0.09y

Solving for variable 'y'.

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

Add '-0.09y' to each side of the equation.
50 + -0.16y + -0.09y = 0.09y + -0.09y

Combine like terms: -0.16y + -0.09y = -0.25y
50 + -0.25y = 0.09y + -0.09y

Combine like terms: 0.09y + -0.09y = 0.00
50 + -0.25y = 0.00

Add '-50' to each side of the equation.
50 + -50 + -0.25y = 0.00 + -50

Combine like terms: 50 + -50 = 0
0 + -0.25y = 0.00 + -50
-0.25y = 0.00 + -50

Combine like terms: 0.00 + -50 = -50
-0.25y = -50

Divide each side by '-0.25'.
y = 200

Simplifying
y = 200

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