0.08(y-6)+0.12y=0.04y-0.01(40)

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Solution for 0.08(y-6)+0.12y=0.04y-0.01(40) equation: 


Simplifying
0.08(y + -6) + 0.12y = 0.04y + -0.01(40)

Reorder the terms:
0.08(-6 + y) + 0.12y = 0.04y + -0.01(40)
(-6 * 0.08 + y * 0.08) + 0.12y = 0.04y + -0.01(40)
(-0.48 + 0.08y) + 0.12y = 0.04y + -0.01(40)

Combine like terms: 0.08y + 0.12y = 0.2y
-0.48 + 0.2y = 0.04y + -0.01(40)

Multiply -0.01 * 40
-0.48 + 0.2y = 0.04y + -0.4

Reorder the terms:
-0.48 + 0.2y = -0.4 + 0.04y

Solving
-0.48 + 0.2y = -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.
-0.48 + 0.2y + -0.04y = -0.4 + 0.04y + -0.04y

Combine like terms: 0.2y + -0.04y = 0.16y
-0.48 + 0.16y = -0.4 + 0.04y + -0.04y

Combine like terms: 0.04y + -0.04y = 0.00
-0.48 + 0.16y = -0.4 + 0.00
-0.48 + 0.16y = -0.4

Add '0.48' to each side of the equation.
-0.48 + 0.48 + 0.16y = -0.4 + 0.48

Combine like terms: -0.48 + 0.48 = 0.00
0.00 + 0.16y = -0.4 + 0.48
0.16y = -0.4 + 0.48

Combine like terms: -0.4 + 0.48 = 0.08
0.16y = 0.08

Divide each side by '0.16'.
y = 0.5

Simplifying
y = 0.5

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