0.20(y-6)+0.18y=0.06y-0.4

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Solution for 0.20(y-6)+0.18y=0.06y-0.4 equation: 


Simplifying
0.20(y + -6) + 0.18y = 0.06y + -0.4

Reorder the terms:
0.20(-6 + y) + 0.18y = 0.06y + -0.4
(-6 * 0.20 + y * 0.20) + 0.18y = 0.06y + -0.4
(-1.2 + 0.20y) + 0.18y = 0.06y + -0.4

Combine like terms: 0.20y + 0.18y = 0.38y
-1.2 + 0.38y = 0.06y + -0.4

Reorder the terms:
-1.2 + 0.38y = -0.4 + 0.06y

Solving
-1.2 + 0.38y = -0.4 + 0.06y

Solving for variable 'y'.

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

Add '-0.06y' to each side of the equation.
-1.2 + 0.38y + -0.06y = -0.4 + 0.06y + -0.06y

Combine like terms: 0.38y + -0.06y = 0.32y
-1.2 + 0.32y = -0.4 + 0.06y + -0.06y

Combine like terms: 0.06y + -0.06y = 0.00
-1.2 + 0.32y = -0.4 + 0.00
-1.2 + 0.32y = -0.4

Add '1.2' to each side of the equation.
-1.2 + 1.2 + 0.32y = -0.4 + 1.2

Combine like terms: -1.2 + 1.2 = 0.0
0.0 + 0.32y = -0.4 + 1.2
0.32y = -0.4 + 1.2

Combine like terms: -0.4 + 1.2 = 0.8
0.32y = 0.8

Divide each side by '0.32'.
y = 2.5

Simplifying
y = 2.5

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