0.12(y-3)+0.10y=0.02y-0.5

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Solution for 0.12(y-3)+0.10y=0.02y-0.5 equation: 


Simplifying
0.12(y + -3) + 0.10y = 0.02y + -0.5

Reorder the terms:
0.12(-3 + y) + 0.10y = 0.02y + -0.5
(-3 * 0.12 + y * 0.12) + 0.10y = 0.02y + -0.5
(-0.36 + 0.12y) + 0.10y = 0.02y + -0.5

Combine like terms: 0.12y + 0.10y = 0.22y
-0.36 + 0.22y = 0.02y + -0.5

Reorder the terms:
-0.36 + 0.22y = -0.5 + 0.02y

Solving
-0.36 + 0.22y = -0.5 + 0.02y

Solving for variable 'y'.

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

Add '-0.02y' to each side of the equation.
-0.36 + 0.22y + -0.02y = -0.5 + 0.02y + -0.02y

Combine like terms: 0.22y + -0.02y = 0.2y
-0.36 + 0.2y = -0.5 + 0.02y + -0.02y

Combine like terms: 0.02y + -0.02y = 0.00
-0.36 + 0.2y = -0.5 + 0.00
-0.36 + 0.2y = -0.5

Add '0.36' to each side of the equation.
-0.36 + 0.36 + 0.2y = -0.5 + 0.36

Combine like terms: -0.36 + 0.36 = 0.00
0.00 + 0.2y = -0.5 + 0.36
0.2y = -0.5 + 0.36

Combine like terms: -0.5 + 0.36 = -0.14
0.2y = -0.14

Divide each side by '0.2'.
y = -0.7

Simplifying
y = -0.7

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