4.6(2y+3)=3.7y-.4

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Solution for 4.6(2y+3)=3.7y-.4 equation: 


Simplifying
4.6(2y + 3) = 3.7y + -0.4

Reorder the terms:
4.6(3 + 2y) = 3.7y + -0.4
(3 * 4.6 + 2y * 4.6) = 3.7y + -0.4
(13.8 + 9.2y) = 3.7y + -0.4

Reorder the terms:
13.8 + 9.2y = -0.4 + 3.7y

Solving
13.8 + 9.2y = -0.4 + 3.7y

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '-3.7y' to each side of the equation.
13.8 + 9.2y + -3.7y = -0.4 + 3.7y + -3.7y

Combine like terms: 9.2y + -3.7y = 5.5y
13.8 + 5.5y = -0.4 + 3.7y + -3.7y

Combine like terms: 3.7y + -3.7y = 0.0
13.8 + 5.5y = -0.4 + 0.0
13.8 + 5.5y = -0.4

Add '-13.8' to each side of the equation.
13.8 + -13.8 + 5.5y = -0.4 + -13.8

Combine like terms: 13.8 + -13.8 = 0.0
0.0 + 5.5y = -0.4 + -13.8
5.5y = -0.4 + -13.8

Combine like terms: -0.4 + -13.8 = -14.2
5.5y = -14.2

Divide each side by '5.5'.
y = -2.581818182

Simplifying
y = -2.581818182

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