3y(4y-1)-2y(6y-5)=9y-8(3+y)

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Solution for 3y(4y-1)-2y(6y-5)=9y-8(3+y) equation:


Simplifying
3y(4y + -1) + -2y(6y + -5) = 9y + -8(3 + y)

Reorder the terms:
3y(-1 + 4y) + -2y(6y + -5) = 9y + -8(3 + y)
(-1 * 3y + 4y * 3y) + -2y(6y + -5) = 9y + -8(3 + y)
(-3y + 12y2) + -2y(6y + -5) = 9y + -8(3 + y)

Reorder the terms:
-3y + 12y2 + -2y(-5 + 6y) = 9y + -8(3 + y)
-3y + 12y2 + (-5 * -2y + 6y * -2y) = 9y + -8(3 + y)
-3y + 12y2 + (10y + -12y2) = 9y + -8(3 + y)

Reorder the terms:
-3y + 10y + 12y2 + -12y2 = 9y + -8(3 + y)

Combine like terms: -3y + 10y = 7y
7y + 12y2 + -12y2 = 9y + -8(3 + y)

Combine like terms: 12y2 + -12y2 = 0
7y + 0 = 9y + -8(3 + y)
7y = 9y + -8(3 + y)
7y = 9y + (3 * -8 + y * -8)
7y = 9y + (-24 + -8y)

Reorder the terms:
7y = -24 + 9y + -8y

Combine like terms: 9y + -8y = 1y
7y = -24 + 1y

Solving
7y = -24 + 1y

Solving for variable 'y'.

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

Add '-1y' to each side of the equation.
7y + -1y = -24 + 1y + -1y

Combine like terms: 7y + -1y = 6y
6y = -24 + 1y + -1y

Combine like terms: 1y + -1y = 0
6y = -24 + 0
6y = -24

Divide each side by '6'.
y = -4

Simplifying
y = -4

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