0.10(y-3)+0.04y=0.12y-0.5

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Solution for 0.10(y-3)+0.04y=0.12y-0.5 equation: 


Simplifying
0.10(y + -3) + 0.04y = 0.12y + -0.5

Reorder the terms:
0.10(-3 + y) + 0.04y = 0.12y + -0.5
(-3 * 0.10 + y * 0.10) + 0.04y = 0.12y + -0.5
(-0.3 + 0.10y) + 0.04y = 0.12y + -0.5

Combine like terms: 0.10y + 0.04y = 0.14y
-0.3 + 0.14y = 0.12y + -0.5

Reorder the terms:
-0.3 + 0.14y = -0.5 + 0.12y

Solving
-0.3 + 0.14y = -0.5 + 0.12y

Solving for variable 'y'.

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

Add '-0.12y' to each side of the equation.
-0.3 + 0.14y + -0.12y = -0.5 + 0.12y + -0.12y

Combine like terms: 0.14y + -0.12y = 0.02y
-0.3 + 0.02y = -0.5 + 0.12y + -0.12y

Combine like terms: 0.12y + -0.12y = 0.00
-0.3 + 0.02y = -0.5 + 0.00
-0.3 + 0.02y = -0.5

Add '0.3' to each side of the equation.
-0.3 + 0.3 + 0.02y = -0.5 + 0.3

Combine like terms: -0.3 + 0.3 = 0.0
0.0 + 0.02y = -0.5 + 0.3
0.02y = -0.5 + 0.3

Combine like terms: -0.5 + 0.3 = -0.2
0.02y = -0.2

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

Simplifying
y = -10

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