0.33(6+9y)=5y-20

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Solution for 0.33(6+9y)=5y-20 equation: 


Simplifying
0.33(6 + 9y) = 5y + -20
(6 * 0.33 + 9y * 0.33) = 5y + -20
(1.98 + 2.97y) = 5y + -20

Reorder the terms:
1.98 + 2.97y = -20 + 5y

Solving
1.98 + 2.97y = -20 + 5y

Solving for variable 'y'.

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

Add '-5y' to each side of the equation.
1.98 + 2.97y + -5y = -20 + 5y + -5y

Combine like terms: 2.97y + -5y = -2.03y
1.98 + -2.03y = -20 + 5y + -5y

Combine like terms: 5y + -5y = 0
1.98 + -2.03y = -20 + 0
1.98 + -2.03y = -20

Add '-1.98' to each side of the equation.
1.98 + -1.98 + -2.03y = -20 + -1.98

Combine like terms: 1.98 + -1.98 = 0.00
0.00 + -2.03y = -20 + -1.98
-2.03y = -20 + -1.98

Combine like terms: -20 + -1.98 = -21.98
-2.03y = -21.98

Divide each side by '-2.03'.
y = 10.82758621

Simplifying
y = 10.82758621

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