.333333(6y-9)=-2y+13

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Solution for .333333(6y-9)=-2y+13 equation: 


Simplifying
0.333333(6y + -9) = -2y + 13

Reorder the terms:
0.333333(-9 + 6y) = -2y + 13
(-9 * 0.333333 + 6y * 0.333333) = -2y + 13
(-2.999997 + 1.999998y) = -2y + 13

Reorder the terms:
-2.999997 + 1.999998y = 13 + -2y

Solving
-2.999997 + 1.999998y = 13 + -2y

Solving for variable 'y'.

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

Add '2y' to each side of the equation.
-2.999997 + 1.999998y + 2y = 13 + -2y + 2y

Combine like terms: 1.999998y + 2y = 3.999998y
-2.999997 + 3.999998y = 13 + -2y + 2y

Combine like terms: -2y + 2y = 0
-2.999997 + 3.999998y = 13 + 0
-2.999997 + 3.999998y = 13

Add '2.999997' to each side of the equation.
-2.999997 + 2.999997 + 3.999998y = 13 + 2.999997

Combine like terms: -2.999997 + 2.999997 = 0.000000
0.000000 + 3.999998y = 13 + 2.999997
3.999998y = 13 + 2.999997

Combine like terms: 13 + 2.999997 = 15.999997
3.999998y = 15.999997

Divide each side by '3.999998'.
y = 4.00000125

Simplifying
y = 4.00000125

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