0.10(y-4)+0.02y=0.14y-0.2

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Solution for 0.10(y-4)+0.02y=0.14y-0.2 equation: 


Simplifying
0.10(y + -4) + 0.02y = 0.14y + -0.2

Reorder the terms:
0.10(-4 + y) + 0.02y = 0.14y + -0.2
(-4 * 0.10 + y * 0.10) + 0.02y = 0.14y + -0.2
(-0.4 + 0.10y) + 0.02y = 0.14y + -0.2

Combine like terms: 0.10y + 0.02y = 0.12y
-0.4 + 0.12y = 0.14y + -0.2

Reorder the terms:
-0.4 + 0.12y = -0.2 + 0.14y

Solving
-0.4 + 0.12y = -0.2 + 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.
-0.4 + 0.12y + -0.14y = -0.2 + 0.14y + -0.14y

Combine like terms: 0.12y + -0.14y = -0.02y
-0.4 + -0.02y = -0.2 + 0.14y + -0.14y

Combine like terms: 0.14y + -0.14y = 0.00
-0.4 + -0.02y = -0.2 + 0.00
-0.4 + -0.02y = -0.2

Add '0.4' to each side of the equation.
-0.4 + 0.4 + -0.02y = -0.2 + 0.4

Combine like terms: -0.4 + 0.4 = 0.0
0.0 + -0.02y = -0.2 + 0.4
-0.02y = -0.2 + 0.4

Combine like terms: -0.2 + 0.4 = 0.2
-0.02y = 0.2

Divide each side by '-0.02'.
y = -10

Simplifying
y = -10

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