0.02(y-4)+0.12y=0.04y-0.01(40)

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Solution for 0.02(y-4)+0.12y=0.04y-0.01(40) equation: 


Simplifying
0.02(y + -4) + 0.12y = 0.04y + -0.01(40)

Reorder the terms:
0.02(-4 + y) + 0.12y = 0.04y + -0.01(40)
(-4 * 0.02 + y * 0.02) + 0.12y = 0.04y + -0.01(40)
(-0.08 + 0.02y) + 0.12y = 0.04y + -0.01(40)

Combine like terms: 0.02y + 0.12y = 0.14y
-0.08 + 0.14y = 0.04y + -0.01(40)

Multiply -0.01 * 40
-0.08 + 0.14y = 0.04y + -0.4

Reorder the terms:
-0.08 + 0.14y = -0.4 + 0.04y

Solving
-0.08 + 0.14y = -0.4 + 0.04y

Solving for variable 'y'.

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

Add '-0.04y' to each side of the equation.
-0.08 + 0.14y + -0.04y = -0.4 + 0.04y + -0.04y

Combine like terms: 0.14y + -0.04y = 0.1y
-0.08 + 0.1y = -0.4 + 0.04y + -0.04y

Combine like terms: 0.04y + -0.04y = 0.00
-0.08 + 0.1y = -0.4 + 0.00
-0.08 + 0.1y = -0.4

Add '0.08' to each side of the equation.
-0.08 + 0.08 + 0.1y = -0.4 + 0.08

Combine like terms: -0.08 + 0.08 = 0.00
0.00 + 0.1y = -0.4 + 0.08
0.1y = -0.4 + 0.08

Combine like terms: -0.4 + 0.08 = -0.32
0.1y = -0.32

Divide each side by '0.1'.
y = -3.2

Simplifying
y = -3.2

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