3(4Y+4.6)+12=6(8Y-0.3)

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Solution for 3(4Y+4.6)+12=6(8Y-0.3) equation: 


Simplifying
3(4Y + 4.6) + 12 = 6(8Y + -0.3)

Reorder the terms:
3(4.6 + 4Y) + 12 = 6(8Y + -0.3)
(4.6 * 3 + 4Y * 3) + 12 = 6(8Y + -0.3)
(13.8 + 12Y) + 12 = 6(8Y + -0.3)

Reorder the terms:
13.8 + 12 + 12Y = 6(8Y + -0.3)

Combine like terms: 13.8 + 12 = 25.8
25.8 + 12Y = 6(8Y + -0.3)

Reorder the terms:
25.8 + 12Y = 6(-0.3 + 8Y)
25.8 + 12Y = (-0.3 * 6 + 8Y * 6)
25.8 + 12Y = (-1.8 + 48Y)

Solving
25.8 + 12Y = -1.8 + 48Y

Solving for variable 'Y'.

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

Add '-48Y' to each side of the equation.
25.8 + 12Y + -48Y = -1.8 + 48Y + -48Y

Combine like terms: 12Y + -48Y = -36Y
25.8 + -36Y = -1.8 + 48Y + -48Y

Combine like terms: 48Y + -48Y = 0
25.8 + -36Y = -1.8 + 0
25.8 + -36Y = -1.8

Add '-25.8' to each side of the equation.
25.8 + -25.8 + -36Y = -1.8 + -25.8

Combine like terms: 25.8 + -25.8 = 0.0
0.0 + -36Y = -1.8 + -25.8
-36Y = -1.8 + -25.8

Combine like terms: -1.8 + -25.8 = -27.6
-36Y = -27.6

Divide each side by '-36'.
Y = 0.7666666667

Simplifying
Y = 0.7666666667

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