.2(10.000)-.05y=.05(y+10.000)

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Solution for .2(10.000)-.05y=.05(y+10.000) equation: 


Simplifying
0.2(10.000) + -0.05y = 0.05(y + 10.000)

Multiply 0.2 * 10.000
2 + -0.05y = 0.05(y + 10.000)

Reorder the terms:
2 + -0.05y = 0.05(10.000 + y)
2 + -0.05y = (10.000 * 0.05 + y * 0.05)
2 + -0.05y = (0.5 + 0.05y)

Solving
2 + -0.05y = 0.5 + 0.05y

Solving for variable 'y'.

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

Add '-0.05y' to each side of the equation.
2 + -0.05y + -0.05y = 0.5 + 0.05y + -0.05y

Combine like terms: -0.05y + -0.05y = -0.1y
2 + -0.1y = 0.5 + 0.05y + -0.05y

Combine like terms: 0.05y + -0.05y = 0.00
2 + -0.1y = 0.5 + 0.00
2 + -0.1y = 0.5

Add '-2' to each side of the equation.
2 + -2 + -0.1y = 0.5 + -2

Combine like terms: 2 + -2 = 0
0 + -0.1y = 0.5 + -2
-0.1y = 0.5 + -2

Combine like terms: 0.5 + -2 = -1.5
-0.1y = -1.5

Divide each side by '-0.1'.
y = 15

Simplifying
y = 15

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