.3-.4(6y-1)+3y=1.2y-1.4(2x-1)

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Solution for .3-.4(6y-1)+3y=1.2y-1.4(2x-1) equation: 


Simplifying
0.3 + -0.4(6y + -1) + 3y = 1.2y + -1.4(2x + -1)

Reorder the terms:
0.3 + -0.4(-1 + 6y) + 3y = 1.2y + -1.4(2x + -1)
0.3 + (-1 * -0.4 + 6y * -0.4) + 3y = 1.2y + -1.4(2x + -1)
0.3 + (0.4 + -2.4y) + 3y = 1.2y + -1.4(2x + -1)

Combine like terms: 0.3 + 0.4 = 0.7
0.7 + -2.4y + 3y = 1.2y + -1.4(2x + -1)

Combine like terms: -2.4y + 3y = 0.6y
0.7 + 0.6y = 1.2y + -1.4(2x + -1)

Reorder the terms:
0.7 + 0.6y = 1.2y + -1.4(-1 + 2x)
0.7 + 0.6y = 1.2y + (-1 * -1.4 + 2x * -1.4)
0.7 + 0.6y = 1.2y + (1.4 + -2.8x)

Reorder the terms:
0.7 + 0.6y = 1.4 + -2.8x + 1.2y

Solving
0.7 + 0.6y = 1.4 + -2.8x + 1.2y

Solving for variable 'y'.

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

Add '-1.2y' to each side of the equation.
0.7 + 0.6y + -1.2y = 1.4 + -2.8x + 1.2y + -1.2y

Combine like terms: 0.6y + -1.2y = -0.6y
0.7 + -0.6y = 1.4 + -2.8x + 1.2y + -1.2y

Combine like terms: 1.2y + -1.2y = 0.0
0.7 + -0.6y = 1.4 + -2.8x + 0.0
0.7 + -0.6y = 1.4 + -2.8x

Add '-0.7' to each side of the equation.
0.7 + -0.7 + -0.6y = 1.4 + -0.7 + -2.8x

Combine like terms: 0.7 + -0.7 = 0.0
0.0 + -0.6y = 1.4 + -0.7 + -2.8x
-0.6y = 1.4 + -0.7 + -2.8x

Combine like terms: 1.4 + -0.7 = 0.7
-0.6y = 0.7 + -2.8x

Divide each side by '-0.6'.
y = -1.166666667 + 4.666666667x

Simplifying
y = -1.166666667 + 4.666666667x

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