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

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Solution for 0.33(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 = 3.98y
-2.97 + 3.98y = 13 + -2y + 2y

Combine like terms: -2y + 2y = 0
-2.97 + 3.98y = 13 + 0
-2.97 + 3.98y = 13

Add '2.97' to each side of the equation.
-2.97 + 2.97 + 3.98y = 13 + 2.97

Combine like terms: -2.97 + 2.97 = 0.00
0.00 + 3.98y = 13 + 2.97
3.98y = 13 + 2.97

Combine like terms: 13 + 2.97 = 15.97
3.98y = 15.97

Divide each side by '3.98'.
y = 4.012562814

Simplifying
y = 4.012562814

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