0.20(y-4)+0.18y=0.10y-3.6

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Solution for 0.20(y-4)+0.18y=0.10y-3.6 equation: 


Simplifying
0.20(y + -4) + 0.18y = 0.10y + -3.6

Reorder the terms:
0.20(-4 + y) + 0.18y = 0.10y + -3.6
(-4 * 0.20 + y * 0.20) + 0.18y = 0.10y + -3.6
(-0.8 + 0.20y) + 0.18y = 0.10y + -3.6

Combine like terms: 0.20y + 0.18y = 0.38y
-0.8 + 0.38y = 0.10y + -3.6

Reorder the terms:
-0.8 + 0.38y = -3.6 + 0.10y

Solving
-0.8 + 0.38y = -3.6 + 0.10y

Solving for variable 'y'.

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

Add '-0.10y' to each side of the equation.
-0.8 + 0.38y + -0.10y = -3.6 + 0.10y + -0.10y

Combine like terms: 0.38y + -0.10y = 0.28y
-0.8 + 0.28y = -3.6 + 0.10y + -0.10y

Combine like terms: 0.10y + -0.10y = 0.00
-0.8 + 0.28y = -3.6 + 0.00
-0.8 + 0.28y = -3.6

Add '0.8' to each side of the equation.
-0.8 + 0.8 + 0.28y = -3.6 + 0.8

Combine like terms: -0.8 + 0.8 = 0.0
0.0 + 0.28y = -3.6 + 0.8
0.28y = -3.6 + 0.8

Combine like terms: -3.6 + 0.8 = -2.8
0.28y = -2.8

Divide each side by '0.28'.
y = -10

Simplifying
y = -10

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