6(y+4)=-5(3y-2)+9y

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Solution for 6(y+4)=-5(3y-2)+9y equation:


Simplifying
6(y + 4) = -5(3y + -2) + 9y

Reorder the terms:
6(4 + y) = -5(3y + -2) + 9y
(4 * 6 + y * 6) = -5(3y + -2) + 9y
(24 + 6y) = -5(3y + -2) + 9y

Reorder the terms:
24 + 6y = -5(-2 + 3y) + 9y
24 + 6y = (-2 * -5 + 3y * -5) + 9y
24 + 6y = (10 + -15y) + 9y

Combine like terms: -15y + 9y = -6y
24 + 6y = 10 + -6y

Solving
24 + 6y = 10 + -6y

Solving for variable 'y'.

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

Add '6y' to each side of the equation.
24 + 6y + 6y = 10 + -6y + 6y

Combine like terms: 6y + 6y = 12y
24 + 12y = 10 + -6y + 6y

Combine like terms: -6y + 6y = 0
24 + 12y = 10 + 0
24 + 12y = 10

Add '-24' to each side of the equation.
24 + -24 + 12y = 10 + -24

Combine like terms: 24 + -24 = 0
0 + 12y = 10 + -24
12y = 10 + -24

Combine like terms: 10 + -24 = -14
12y = -14

Divide each side by '12'.
y = -1.166666667

Simplifying
y = -1.166666667

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