0.05y+0.1(200-y)=0.45y

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Solution for 0.05y+0.1(200-y)=0.45y equation: 


Simplifying
0.05y + 0.1(200 + -1y) = 0.45y
0.05y + (200 * 0.1 + -1y * 0.1) = 0.45y
0.05y + (20 + -0.1y) = 0.45y

Reorder the terms:
20 + 0.05y + -0.1y = 0.45y

Combine like terms: 0.05y + -0.1y = -0.05y
20 + -0.05y = 0.45y

Solving
20 + -0.05y = 0.45y

Solving for variable 'y'.

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

Add '-0.45y' to each side of the equation.
20 + -0.05y + -0.45y = 0.45y + -0.45y

Combine like terms: -0.05y + -0.45y = -0.5y
20 + -0.5y = 0.45y + -0.45y

Combine like terms: 0.45y + -0.45y = 0.00
20 + -0.5y = 0.00

Add '-20' to each side of the equation.
20 + -20 + -0.5y = 0.00 + -20

Combine like terms: 20 + -20 = 0
0 + -0.5y = 0.00 + -20
-0.5y = 0.00 + -20

Combine like terms: 0.00 + -20 = -20
-0.5y = -20

Divide each side by '-0.5'.
y = 40

Simplifying
y = 40

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