0.04(y-1)+0.10y=0.20y-0.01(40)

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Solution for 0.04(y-1)+0.10y=0.20y-0.01(40) equation: 


Simplifying
0.04(y + -1) + 0.10y = 0.20y + -0.01(40)

Reorder the terms:
0.04(-1 + y) + 0.10y = 0.20y + -0.01(40)
(-1 * 0.04 + y * 0.04) + 0.10y = 0.20y + -0.01(40)
(-0.04 + 0.04y) + 0.10y = 0.20y + -0.01(40)

Combine like terms: 0.04y + 0.10y = 0.14y
-0.04 + 0.14y = 0.20y + -0.01(40)

Multiply -0.01 * 40
-0.04 + 0.14y = 0.20y + -0.4

Reorder the terms:
-0.04 + 0.14y = -0.4 + 0.20y

Solving
-0.04 + 0.14y = -0.4 + 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.
-0.04 + 0.14y + -0.20y = -0.4 + 0.20y + -0.20y

Combine like terms: 0.14y + -0.20y = -0.06y
-0.04 + -0.06y = -0.4 + 0.20y + -0.20y

Combine like terms: 0.20y + -0.20y = 0.00
-0.04 + -0.06y = -0.4 + 0.00
-0.04 + -0.06y = -0.4

Add '0.04' to each side of the equation.
-0.04 + 0.04 + -0.06y = -0.4 + 0.04

Combine like terms: -0.04 + 0.04 = 0.00
0.00 + -0.06y = -0.4 + 0.04
-0.06y = -0.4 + 0.04

Combine like terms: -0.4 + 0.04 = -0.36
-0.06y = -0.36

Divide each side by '-0.06'.
y = 6

Simplifying
y = 6

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