0.006(y-1)+0.04y=0.20y-0.01(50)

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Solution for 0.006(y-1)+0.04y=0.20y-0.01(50) equation: 


Simplifying
0.006(y + -1) + 0.04y = 0.20y + -0.01(50)

Reorder the terms:
0.006(-1 + y) + 0.04y = 0.20y + -0.01(50)
(-1 * 0.006 + y * 0.006) + 0.04y = 0.20y + -0.01(50)
(-0.006 + 0.006y) + 0.04y = 0.20y + -0.01(50)

Combine like terms: 0.006y + 0.04y = 0.046y
-0.006 + 0.046y = 0.20y + -0.01(50)

Multiply -0.01 * 50
-0.006 + 0.046y = 0.20y + -0.5

Reorder the terms:
-0.006 + 0.046y = -0.5 + 0.20y

Solving
-0.006 + 0.046y = -0.5 + 0.20y

Solving for variable 'y'.

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

Add '-0.20y' to each side of the equation.
-0.006 + 0.046y + -0.20y = -0.5 + 0.20y + -0.20y

Combine like terms: 0.046y + -0.20y = -0.154y
-0.006 + -0.154y = -0.5 + 0.20y + -0.20y

Combine like terms: 0.20y + -0.20y = 0.00
-0.006 + -0.154y = -0.5 + 0.00
-0.006 + -0.154y = -0.5

Add '0.006' to each side of the equation.
-0.006 + 0.006 + -0.154y = -0.5 + 0.006

Combine like terms: -0.006 + 0.006 = 0.000
0.000 + -0.154y = -0.5 + 0.006
-0.154y = -0.5 + 0.006

Combine like terms: -0.5 + 0.006 = -0.494
-0.154y = -0.494

Divide each side by '-0.154'.
y = 3.207792208

Simplifying
y = 3.207792208

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