0.3(6y-9)=-2y+13

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Solution for 0.3(6y-9)=-2y+13 equation: 


Simplifying
0.3(6y + -9) = -2y + 13

Reorder the terms:
0.3(-9 + 6y) = -2y + 13
(-9 * 0.3 + 6y * 0.3) = -2y + 13
(-2.7 + 1.8y) = -2y + 13

Reorder the terms:
-2.7 + 1.8y = 13 + -2y

Solving
-2.7 + 1.8y = 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.
-2.7 + 1.8y + 2y = 13 + -2y + 2y

Combine like terms: 1.8y + 2y = 3.8y
-2.7 + 3.8y = 13 + -2y + 2y

Combine like terms: -2y + 2y = 0
-2.7 + 3.8y = 13 + 0
-2.7 + 3.8y = 13

Add '2.7' to each side of the equation.
-2.7 + 2.7 + 3.8y = 13 + 2.7

Combine like terms: -2.7 + 2.7 = 0.0
0.0 + 3.8y = 13 + 2.7
3.8y = 13 + 2.7

Combine like terms: 13 + 2.7 = 15.7
3.8y = 15.7

Divide each side by '3.8'.
y = 4.131578947

Simplifying
y = 4.131578947

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