0.12(y-6)+0.16=0.10y-0.9

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Solution for 0.12(y-6)+0.16=0.10y-0.9 equation: 


Simplifying
0.12(y + -6) + 0.16 = 0.10y + -0.9

Reorder the terms:
0.12(-6 + y) + 0.16 = 0.10y + -0.9
(-6 * 0.12 + y * 0.12) + 0.16 = 0.10y + -0.9
(-0.72 + 0.12y) + 0.16 = 0.10y + -0.9

Reorder the terms:
-0.72 + 0.16 + 0.12y = 0.10y + -0.9

Combine like terms: -0.72 + 0.16 = -0.56
-0.56 + 0.12y = 0.10y + -0.9

Reorder the terms:
-0.56 + 0.12y = -0.9 + 0.10y

Solving
-0.56 + 0.12y = -0.9 + 0.10y

Solving for variable 'y'.

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

Add '-0.10y' to each side of the equation.
-0.56 + 0.12y + -0.10y = -0.9 + 0.10y + -0.10y

Combine like terms: 0.12y + -0.10y = 0.02y
-0.56 + 0.02y = -0.9 + 0.10y + -0.10y

Combine like terms: 0.10y + -0.10y = 0.00
-0.56 + 0.02y = -0.9 + 0.00
-0.56 + 0.02y = -0.9

Add '0.56' to each side of the equation.
-0.56 + 0.56 + 0.02y = -0.9 + 0.56

Combine like terms: -0.56 + 0.56 = 0.00
0.00 + 0.02y = -0.9 + 0.56
0.02y = -0.9 + 0.56

Combine like terms: -0.9 + 0.56 = -0.34
0.02y = -0.34

Divide each side by '0.02'.
y = -17

Simplifying
y = -17

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