.20(y-9)+.16y=.08y-.4

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Solution for .20(y-9)+.16y=.08y-.4 equation: 


Simplifying
0.20(y + -9) + 0.16y = 0.08y + -0.4

Reorder the terms:
0.20(-9 + y) + 0.16y = 0.08y + -0.4
(-9 * 0.20 + y * 0.20) + 0.16y = 0.08y + -0.4
(-1.8 + 0.20y) + 0.16y = 0.08y + -0.4

Combine like terms: 0.20y + 0.16y = 0.36y
-1.8 + 0.36y = 0.08y + -0.4

Reorder the terms:
-1.8 + 0.36y = -0.4 + 0.08y

Solving
-1.8 + 0.36y = -0.4 + 0.08y

Solving for variable 'y'.

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

Add '-0.08y' to each side of the equation.
-1.8 + 0.36y + -0.08y = -0.4 + 0.08y + -0.08y

Combine like terms: 0.36y + -0.08y = 0.28y
-1.8 + 0.28y = -0.4 + 0.08y + -0.08y

Combine like terms: 0.08y + -0.08y = 0.00
-1.8 + 0.28y = -0.4 + 0.00
-1.8 + 0.28y = -0.4

Add '1.8' to each side of the equation.
-1.8 + 1.8 + 0.28y = -0.4 + 1.8

Combine like terms: -1.8 + 1.8 = 0.0
0.0 + 0.28y = -0.4 + 1.8
0.28y = -0.4 + 1.8

Combine like terms: -0.4 + 1.8 = 1.4
0.28y = 1.4

Divide each side by '0.28'.
y = 5

Simplifying
y = 5

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