6.8(2y+4)-1.7(3y-6)=

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Solution for 6.8(2y+4)-1.7(3y-6)= equation: 


Simplifying
6.8(2y + 4) + -1.7(3y + -6) = 0

Reorder the terms:
6.8(4 + 2y) + -1.7(3y + -6) = 0
(4 * 6.8 + 2y * 6.8) + -1.7(3y + -6) = 0
(27.2 + 13.6y) + -1.7(3y + -6) = 0

Reorder the terms:
27.2 + 13.6y + -1.7(-6 + 3y) = 0
27.2 + 13.6y + (-6 * -1.7 + 3y * -1.7) = 0
27.2 + 13.6y + (10.2 + -5.1y) = 0

Reorder the terms:
27.2 + 10.2 + 13.6y + -5.1y = 0

Combine like terms: 27.2 + 10.2 = 37.4
37.4 + 13.6y + -5.1y = 0

Combine like terms: 13.6y + -5.1y = 8.5y
37.4 + 8.5y = 0

Solving
37.4 + 8.5y = 0

Solving for variable 'y'.

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

Add '-37.4' to each side of the equation.
37.4 + -37.4 + 8.5y = 0 + -37.4

Combine like terms: 37.4 + -37.4 = 0.0
0.0 + 8.5y = 0 + -37.4
8.5y = 0 + -37.4

Combine like terms: 0 + -37.4 = -37.4
8.5y = -37.4

Divide each side by '8.5'.
y = -4.4

Simplifying
y = -4.4

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