0.02(y-2)+0.08y=0.14y-0.4

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Solution for 0.02(y-2)+0.08y=0.14y-0.4 equation: 


Simplifying
0.02(y + -2) + 0.08y = 0.14y + -0.4

Reorder the terms:
0.02(-2 + y) + 0.08y = 0.14y + -0.4
(-2 * 0.02 + y * 0.02) + 0.08y = 0.14y + -0.4
(-0.04 + 0.02y) + 0.08y = 0.14y + -0.4

Combine like terms: 0.02y + 0.08y = 0.1y
-0.04 + 0.1y = 0.14y + -0.4

Reorder the terms:
-0.04 + 0.1y = -0.4 + 0.14y

Solving
-0.04 + 0.1y = -0.4 + 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.
-0.04 + 0.1y + -0.14y = -0.4 + 0.14y + -0.14y

Combine like terms: 0.1y + -0.14y = -0.04y
-0.04 + -0.04y = -0.4 + 0.14y + -0.14y

Combine like terms: 0.14y + -0.14y = 0.00
-0.04 + -0.04y = -0.4 + 0.00
-0.04 + -0.04y = -0.4

Add '0.04' to each side of the equation.
-0.04 + 0.04 + -0.04y = -0.4 + 0.04

Combine like terms: -0.04 + 0.04 = 0.00
0.00 + -0.04y = -0.4 + 0.04
-0.04y = -0.4 + 0.04

Combine like terms: -0.4 + 0.04 = -0.36
-0.04y = -0.36

Divide each side by '-0.04'.
y = 9

Simplifying
y = 9

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