0.12y-1.6(y-2)=6.8-1.28y

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Solution for 0.12y-1.6(y-2)=6.8-1.28y equation: 


Simplifying
0.12y + -1.6(y + -2) = 6.8 + -1.28y

Reorder the terms:
0.12y + -1.6(-2 + y) = 6.8 + -1.28y
0.12y + (-2 * -1.6 + y * -1.6) = 6.8 + -1.28y
0.12y + (3.2 + -1.6y) = 6.8 + -1.28y

Reorder the terms:
3.2 + 0.12y + -1.6y = 6.8 + -1.28y

Combine like terms: 0.12y + -1.6y = -1.48y
3.2 + -1.48y = 6.8 + -1.28y

Solving
3.2 + -1.48y = 6.8 + -1.28y

Solving for variable 'y'.

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

Add '1.28y' to each side of the equation.
3.2 + -1.48y + 1.28y = 6.8 + -1.28y + 1.28y

Combine like terms: -1.48y + 1.28y = -0.2y
3.2 + -0.2y = 6.8 + -1.28y + 1.28y

Combine like terms: -1.28y + 1.28y = 0.00
3.2 + -0.2y = 6.8 + 0.00
3.2 + -0.2y = 6.8

Add '-3.2' to each side of the equation.
3.2 + -3.2 + -0.2y = 6.8 + -3.2

Combine like terms: 3.2 + -3.2 = 0.0
0.0 + -0.2y = 6.8 + -3.2
-0.2y = 6.8 + -3.2

Combine like terms: 6.8 + -3.2 = 3.6
-0.2y = 3.6

Divide each side by '-0.2'.
y = -18

Simplifying
y = -18

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