0.20(y-9)+0.02y=0.14y-0.03(40)

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Solution for 0.20(y-9)+0.02y=0.14y-0.03(40) equation: 


Simplifying
0.20(y + -9) + 0.02y = 0.14y + -0.03(40)

Reorder the terms:
0.20(-9 + y) + 0.02y = 0.14y + -0.03(40)
(-9 * 0.20 + y * 0.20) + 0.02y = 0.14y + -0.03(40)
(-1.8 + 0.20y) + 0.02y = 0.14y + -0.03(40)

Combine like terms: 0.20y + 0.02y = 0.22y
-1.8 + 0.22y = 0.14y + -0.03(40)

Multiply -0.03 * 40
-1.8 + 0.22y = 0.14y + -1.2

Reorder the terms:
-1.8 + 0.22y = -1.2 + 0.14y

Solving
-1.8 + 0.22y = -1.2 + 0.14y

Solving for variable 'y'.

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

Add '-0.14y' to each side of the equation.
-1.8 + 0.22y + -0.14y = -1.2 + 0.14y + -0.14y

Combine like terms: 0.22y + -0.14y = 0.08y
-1.8 + 0.08y = -1.2 + 0.14y + -0.14y

Combine like terms: 0.14y + -0.14y = 0.00
-1.8 + 0.08y = -1.2 + 0.00
-1.8 + 0.08y = -1.2

Add '1.8' to each side of the equation.
-1.8 + 1.8 + 0.08y = -1.2 + 1.8

Combine like terms: -1.8 + 1.8 = 0.0
0.0 + 0.08y = -1.2 + 1.8
0.08y = -1.2 + 1.8

Combine like terms: -1.2 + 1.8 = 0.6
0.08y = 0.6

Divide each side by '0.08'.
y = 7.5

Simplifying
y = 7.5

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