0.3333(6y-9)=-2y+13

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Solution for 0.3333(6y-9)=-2y+13 equation: 


Simplifying
0.3333(6y + -9) = -2y + 13

Reorder the terms:
0.3333(-9 + 6y) = -2y + 13
(-9 * 0.3333 + 6y * 0.3333) = -2y + 13
(-2.9997 + 1.9998y) = -2y + 13

Reorder the terms:
-2.9997 + 1.9998y = 13 + -2y

Solving
-2.9997 + 1.9998y = 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.
-2.9997 + 1.9998y + 2y = 13 + -2y + 2y

Combine like terms: 1.9998y + 2y = 3.9998y
-2.9997 + 3.9998y = 13 + -2y + 2y

Combine like terms: -2y + 2y = 0
-2.9997 + 3.9998y = 13 + 0
-2.9997 + 3.9998y = 13

Add '2.9997' to each side of the equation.
-2.9997 + 2.9997 + 3.9998y = 13 + 2.9997

Combine like terms: -2.9997 + 2.9997 = 0.0000
0.0000 + 3.9998y = 13 + 2.9997
3.9998y = 13 + 2.9997

Combine like terms: 13 + 2.9997 = 15.9997
3.9998y = 15.9997

Divide each side by '3.9998'.
y = 4.000125006

Simplifying
y = 4.000125006

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