0.02(y-8)+0.06y=0.18y-0.01(40)

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Solution for 0.02(y-8)+0.06y=0.18y-0.01(40) equation: 


Simplifying
0.02(y + -8) + 0.06y = 0.18y + -0.01(40)

Reorder the terms:
0.02(-8 + y) + 0.06y = 0.18y + -0.01(40)
(-8 * 0.02 + y * 0.02) + 0.06y = 0.18y + -0.01(40)
(-0.16 + 0.02y) + 0.06y = 0.18y + -0.01(40)

Combine like terms: 0.02y + 0.06y = 0.08y
-0.16 + 0.08y = 0.18y + -0.01(40)

Multiply -0.01 * 40
-0.16 + 0.08y = 0.18y + -0.4

Reorder the terms:
-0.16 + 0.08y = -0.4 + 0.18y

Solving
-0.16 + 0.08y = -0.4 + 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.
-0.16 + 0.08y + -0.18y = -0.4 + 0.18y + -0.18y

Combine like terms: 0.08y + -0.18y = -0.1y
-0.16 + -0.1y = -0.4 + 0.18y + -0.18y

Combine like terms: 0.18y + -0.18y = 0.00
-0.16 + -0.1y = -0.4 + 0.00
-0.16 + -0.1y = -0.4

Add '0.16' to each side of the equation.
-0.16 + 0.16 + -0.1y = -0.4 + 0.16

Combine like terms: -0.16 + 0.16 = 0.00
0.00 + -0.1y = -0.4 + 0.16
-0.1y = -0.4 + 0.16

Combine like terms: -0.4 + 0.16 = -0.24
-0.1y = -0.24

Divide each side by '-0.1'.
y = 2.4

Simplifying
y = 2.4

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