2(y+4)=-3(5y-2)+3y

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Solution for 2(y+4)=-3(5y-2)+3y equation:


Simplifying
2(y + 4) = -3(5y + -2) + 3y

Reorder the terms:
2(4 + y) = -3(5y + -2) + 3y
(4 * 2 + y * 2) = -3(5y + -2) + 3y
(8 + 2y) = -3(5y + -2) + 3y

Reorder the terms:
8 + 2y = -3(-2 + 5y) + 3y
8 + 2y = (-2 * -3 + 5y * -3) + 3y
8 + 2y = (6 + -15y) + 3y

Combine like terms: -15y + 3y = -12y
8 + 2y = 6 + -12y

Solving
8 + 2y = 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.
8 + 2y + 12y = 6 + -12y + 12y

Combine like terms: 2y + 12y = 14y
8 + 14y = 6 + -12y + 12y

Combine like terms: -12y + 12y = 0
8 + 14y = 6 + 0
8 + 14y = 6

Add '-8' to each side of the equation.
8 + -8 + 14y = 6 + -8

Combine like terms: 8 + -8 = 0
0 + 14y = 6 + -8
14y = 6 + -8

Combine like terms: 6 + -8 = -2
14y = -2

Divide each side by '14'.
y = -0.1428571429

Simplifying
y = -0.1428571429

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