3(2y-0.4)=19.4-y

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Solution for 3(2y-0.4)=19.4-y equation:


Simplifying
3(2y + -0.4) = 19.4 + -1y

Reorder the terms:
3(-0.4 + 2y) = 19.4 + -1y
(-0.4 * 3 + 2y * 3) = 19.4 + -1y
(-1.2 + 6y) = 19.4 + -1y

Solving
-1.2 + 6y = 19.4 + -1y

Solving for variable 'y'.

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

Add 'y' to each side of the equation.
-1.2 + 6y + y = 19.4 + -1y + y

Combine like terms: 6y + y = 7y
-1.2 + 7y = 19.4 + -1y + y

Combine like terms: -1y + y = 0
-1.2 + 7y = 19.4 + 0
-1.2 + 7y = 19.4

Add '1.2' to each side of the equation.
-1.2 + 1.2 + 7y = 19.4 + 1.2

Combine like terms: -1.2 + 1.2 = 0.0
0.0 + 7y = 19.4 + 1.2
7y = 19.4 + 1.2

Combine like terms: 19.4 + 1.2 = 20.6
7y = 20.6

Divide each side by '7'.
y = 2.942857143

Simplifying
y = 2.942857143

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