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 = -0.2y
-2.7 + -0.2y = 13 + 2y + -2y

Combine like terms: 2y + -2y = 0
-2.7 + -0.2y = 13 + 0
-2.7 + -0.2y = 13

Add '2.7' to each side of the equation.
-2.7 + 2.7 + -0.2y = 13 + 2.7

Combine like terms: -2.7 + 2.7 = 0.0
0.0 + -0.2y = 13 + 2.7
-0.2y = 13 + 2.7

Combine like terms: 13 + 2.7 = 15.7
-0.2y = 15.7

Divide each side by '-0.2'.
y = -78.5

Simplifying
y = -78.5

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