.333(6y-9)=-2y+13

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Solution for .333(6y-9)=-2y+13 equation: 


Simplifying
0.333(6y + -9) = -2y + 13

Reorder the terms:
0.333(-9 + 6y) = -2y + 13
(-9 * 0.333 + 6y * 0.333) = -2y + 13
(-2.997 + 1.998y) = -2y + 13

Reorder the terms:
-2.997 + 1.998y = 13 + -2y

Solving
-2.997 + 1.998y = 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.
-2.997 + 1.998y + 2y = 13 + -2y + 2y

Combine like terms: 1.998y + 2y = 3.998y
-2.997 + 3.998y = 13 + -2y + 2y

Combine like terms: -2y + 2y = 0
-2.997 + 3.998y = 13 + 0
-2.997 + 3.998y = 13

Add '2.997' to each side of the equation.
-2.997 + 2.997 + 3.998y = 13 + 2.997

Combine like terms: -2.997 + 2.997 = 0.000
0.000 + 3.998y = 13 + 2.997
3.998y = 13 + 2.997

Combine like terms: 13 + 2.997 = 15.997
3.998y = 15.997

Divide each side by '3.998'.
y = 4.001250625

Simplifying
y = 4.001250625

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