0.18(y-9)+.10y=.16y-1.2

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Solution for 0.18(y-9)+.10y=.16y-1.2 equation: 


Simplifying
0.18(y + -9) + 0.10y = 0.16y + -1.2

Reorder the terms:
0.18(-9 + y) + 0.10y = 0.16y + -1.2
(-9 * 0.18 + y * 0.18) + 0.10y = 0.16y + -1.2
(-1.62 + 0.18y) + 0.10y = 0.16y + -1.2

Combine like terms: 0.18y + 0.10y = 0.28y
-1.62 + 0.28y = 0.16y + -1.2

Reorder the terms:
-1.62 + 0.28y = -1.2 + 0.16y

Solving
-1.62 + 0.28y = -1.2 + 0.16y

Solving for variable 'y'.

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

Add '-0.16y' to each side of the equation.
-1.62 + 0.28y + -0.16y = -1.2 + 0.16y + -0.16y

Combine like terms: 0.28y + -0.16y = 0.12y
-1.62 + 0.12y = -1.2 + 0.16y + -0.16y

Combine like terms: 0.16y + -0.16y = 0.00
-1.62 + 0.12y = -1.2 + 0.00
-1.62 + 0.12y = -1.2

Add '1.62' to each side of the equation.
-1.62 + 1.62 + 0.12y = -1.2 + 1.62

Combine like terms: -1.62 + 1.62 = 0.00
0.00 + 0.12y = -1.2 + 1.62
0.12y = -1.2 + 1.62

Combine like terms: -1.2 + 1.62 = 0.42
0.12y = 0.42

Divide each side by '0.12'.
y = 3.5

Simplifying
y = 3.5

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