0.20(y-9)+0.16y=0.18y-0.003(30)

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Solution for 0.20(y-9)+0.16y=0.18y-0.003(30) equation: 


Simplifying
0.20(y + -9) + 0.16y = 0.18y + -0.003(30)

Reorder the terms:
0.20(-9 + y) + 0.16y = 0.18y + -0.003(30)
(-9 * 0.20 + y * 0.20) + 0.16y = 0.18y + -0.003(30)
(-1.8 + 0.20y) + 0.16y = 0.18y + -0.003(30)

Combine like terms: 0.20y + 0.16y = 0.36y
-1.8 + 0.36y = 0.18y + -0.003(30)

Multiply -0.003 * 30
-1.8 + 0.36y = 0.18y + -0.09

Reorder the terms:
-1.8 + 0.36y = -0.09 + 0.18y

Solving
-1.8 + 0.36y = -0.09 + 0.18y

Solving for variable 'y'.

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

Add '-0.18y' to each side of the equation.
-1.8 + 0.36y + -0.18y = -0.09 + 0.18y + -0.18y

Combine like terms: 0.36y + -0.18y = 0.18y
-1.8 + 0.18y = -0.09 + 0.18y + -0.18y

Combine like terms: 0.18y + -0.18y = 0.00
-1.8 + 0.18y = -0.09 + 0.00
-1.8 + 0.18y = -0.09

Add '1.8' to each side of the equation.
-1.8 + 1.8 + 0.18y = -0.09 + 1.8

Combine like terms: -1.8 + 1.8 = 0.0
0.0 + 0.18y = -0.09 + 1.8
0.18y = -0.09 + 1.8

Combine like terms: -0.09 + 1.8 = 1.71
0.18y = 1.71

Divide each side by '0.18'.
y = 9.5

Simplifying
y = 9.5

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