33.3(6y-9)=-2y+13

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Solution for 33.3(6y-9)=-2y+13 equation: 


Simplifying
33.3(6y + -9) = -2y + 13

Reorder the terms:
33.3(-9 + 6y) = -2y + 13
(-9 * 33.3 + 6y * 33.3) = -2y + 13
(-299.7 + 199.8y) = -2y + 13

Reorder the terms:
-299.7 + 199.8y = 13 + -2y

Solving
-299.7 + 199.8y = 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.
-299.7 + 199.8y + 2y = 13 + -2y + 2y

Combine like terms: 199.8y + 2y = 201.8y
-299.7 + 201.8y = 13 + -2y + 2y

Combine like terms: -2y + 2y = 0
-299.7 + 201.8y = 13 + 0
-299.7 + 201.8y = 13

Add '299.7' to each side of the equation.
-299.7 + 299.7 + 201.8y = 13 + 299.7

Combine like terms: -299.7 + 299.7 = 0.0
0.0 + 201.8y = 13 + 299.7
201.8y = 13 + 299.7

Combine like terms: 13 + 299.7 = 312.7
201.8y = 312.7

Divide each side by '201.8'.
y = 1.549554014

Simplifying
y = 1.549554014

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