2(3y-1.9)+2.0=4(3y-0.9)

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Solution for 2(3y-1.9)+2.0=4(3y-0.9) equation:


Simplifying
2(3y + -1.9) + 2.0 = 4(3y + -0.9)

Reorder the terms:
2(-1.9 + 3y) + 2.0 = 4(3y + -0.9)
(-1.9 * 2 + 3y * 2) + 2.0 = 4(3y + -0.9)
(-3.8 + 6y) + 2.0 = 4(3y + -0.9)

Reorder the terms:
-3.8 + 2.0 + 6y = 4(3y + -0.9)

Combine like terms: -3.8 + 2.0 = -1.8
-1.8 + 6y = 4(3y + -0.9)

Reorder the terms:
-1.8 + 6y = 4(-0.9 + 3y)
-1.8 + 6y = (-0.9 * 4 + 3y * 4)
-1.8 + 6y = (-3.6 + 12y)

Solving
-1.8 + 6y = -3.6 + 12y

Solving for variable 'y'.

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

Add '-12y' to each side of the equation.
-1.8 + 6y + -12y = -3.6 + 12y + -12y

Combine like terms: 6y + -12y = -6y
-1.8 + -6y = -3.6 + 12y + -12y

Combine like terms: 12y + -12y = 0
-1.8 + -6y = -3.6 + 0
-1.8 + -6y = -3.6

Add '1.8' to each side of the equation.
-1.8 + 1.8 + -6y = -3.6 + 1.8

Combine like terms: -1.8 + 1.8 = 0.0
0.0 + -6y = -3.6 + 1.8
-6y = -3.6 + 1.8

Combine like terms: -3.6 + 1.8 = -1.8
-6y = -1.8

Divide each side by '-6'.
y = 0.3

Simplifying
y = 0.3

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