33.333(6y-9)=-2y+13

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Solution for 33.333(6y-9)=-2y+13 equation: 


Simplifying
33.333(6y + -9) = -2y + 13

Reorder the terms:
33.333(-9 + 6y) = -2y + 13
(-9 * 33.333 + 6y * 33.333) = -2y + 13
(-299.997 + 199.998y) = -2y + 13

Reorder the terms:
-299.997 + 199.998y = 13 + -2y

Solving
-299.997 + 199.998y = 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.
-299.997 + 199.998y + 2y = 13 + -2y + 2y

Combine like terms: 199.998y + 2y = 201.998y
-299.997 + 201.998y = 13 + -2y + 2y

Combine like terms: -2y + 2y = 0
-299.997 + 201.998y = 13 + 0
-299.997 + 201.998y = 13

Add '299.997' to each side of the equation.
-299.997 + 299.997 + 201.998y = 13 + 299.997

Combine like terms: -299.997 + 299.997 = 0.000
0.000 + 201.998y = 13 + 299.997
201.998y = 13 + 299.997

Combine like terms: 13 + 299.997 = 312.997
201.998y = 312.997

Divide each side by '201.998'.
y = 1.549505441

Simplifying
y = 1.549505441

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