-3y-.333(6y+6)=8y-9

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Solution for -3y-.333(6y+6)=8y-9 equation: 


Simplifying
-3y + -0.333(6y + 6) = 8y + -9

Reorder the terms:
-3y + -0.333(6 + 6y) = 8y + -9
-3y + (6 * -0.333 + 6y * -0.333) = 8y + -9
-3y + (-1.998 + -1.998y) = 8y + -9

Reorder the terms:
-1.998 + -3y + -1.998y = 8y + -9

Combine like terms: -3y + -1.998y = -4.998y
-1.998 + -4.998y = 8y + -9

Reorder the terms:
-1.998 + -4.998y = -9 + 8y

Solving
-1.998 + -4.998y = -9 + 8y

Solving for variable 'y'.

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

Add '-8y' to each side of the equation.
-1.998 + -4.998y + -8y = -9 + 8y + -8y

Combine like terms: -4.998y + -8y = -12.998y
-1.998 + -12.998y = -9 + 8y + -8y

Combine like terms: 8y + -8y = 0
-1.998 + -12.998y = -9 + 0
-1.998 + -12.998y = -9

Add '1.998' to each side of the equation.
-1.998 + 1.998 + -12.998y = -9 + 1.998

Combine like terms: -1.998 + 1.998 = 0.000
0.000 + -12.998y = -9 + 1.998
-12.998y = -9 + 1.998

Combine like terms: -9 + 1.998 = -7.002
-12.998y = -7.002

Divide each side by '-12.998'.
y = 0.5386982613

Simplifying
y = 0.5386982613

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