.33(6y-9)=2y+13

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Solution for .33(6y-9)=2y+13 equation: 


Simplifying
0.33(6y + -9) = 2y + 13

Reorder the terms:
0.33(-9 + 6y) = 2y + 13
(-9 * 0.33 + 6y * 0.33) = 2y + 13
(-2.97 + 1.98y) = 2y + 13

Reorder the terms:
-2.97 + 1.98y = 13 + 2y

Solving
-2.97 + 1.98y = 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.
-2.97 + 1.98y + -2y = 13 + 2y + -2y

Combine like terms: 1.98y + -2y = -0.02y
-2.97 + -0.02y = 13 + 2y + -2y

Combine like terms: 2y + -2y = 0
-2.97 + -0.02y = 13 + 0
-2.97 + -0.02y = 13

Add '2.97' to each side of the equation.
-2.97 + 2.97 + -0.02y = 13 + 2.97

Combine like terms: -2.97 + 2.97 = 0.00
0.00 + -0.02y = 13 + 2.97
-0.02y = 13 + 2.97

Combine like terms: 13 + 2.97 = 15.97
-0.02y = 15.97

Divide each side by '-0.02'.
y = -798.5

Simplifying
y = -798.5

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