4y(y-5)-2y(3y+2)+108=3y(2y-5)-y(8y-3)

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Solution for 4y(y-5)-2y(3y+2)+108=3y(2y-5)-y(8y-3) equation: 


Simplifying
4y(y + -5) + -2y(3y + 2) + 108 = 3y(2y + -5) + -1y(8y + -3)

Reorder the terms:
4y(-5 + y) + -2y(3y + 2) + 108 = 3y(2y + -5) + -1y(8y + -3)
(-5 * 4y + y * 4y) + -2y(3y + 2) + 108 = 3y(2y + -5) + -1y(8y + -3)
(-20y + 4y2) + -2y(3y + 2) + 108 = 3y(2y + -5) + -1y(8y + -3)

Reorder the terms:
-20y + 4y2 + -2y(2 + 3y) + 108 = 3y(2y + -5) + -1y(8y + -3)
-20y + 4y2 + (2 * -2y + 3y * -2y) + 108 = 3y(2y + -5) + -1y(8y + -3)
-20y + 4y2 + (-4y + -6y2) + 108 = 3y(2y + -5) + -1y(8y + -3)

Reorder the terms:
108 + -20y + -4y + 4y2 + -6y2 = 3y(2y + -5) + -1y(8y + -3)

Combine like terms: -20y + -4y = -24y
108 + -24y + 4y2 + -6y2 = 3y(2y + -5) + -1y(8y + -3)

Combine like terms: 4y2 + -6y2 = -2y2
108 + -24y + -2y2 = 3y(2y + -5) + -1y(8y + -3)

Reorder the terms:
108 + -24y + -2y2 = 3y(-5 + 2y) + -1y(8y + -3)
108 + -24y + -2y2 = (-5 * 3y + 2y * 3y) + -1y(8y + -3)
108 + -24y + -2y2 = (-15y + 6y2) + -1y(8y + -3)

Reorder the terms:
108 + -24y + -2y2 = -15y + 6y2 + -1y(-3 + 8y)
108 + -24y + -2y2 = -15y + 6y2 + (-3 * -1y + 8y * -1y)
108 + -24y + -2y2 = -15y + 6y2 + (3y + -8y2)

Reorder the terms:
108 + -24y + -2y2 = -15y + 3y + 6y2 + -8y2

Combine like terms: -15y + 3y = -12y
108 + -24y + -2y2 = -12y + 6y2 + -8y2

Combine like terms: 6y2 + -8y2 = -2y2
108 + -24y + -2y2 = -12y + -2y2

Add '2y2' to each side of the equation.
108 + -24y + -2y2 + 2y2 = -12y + -2y2 + 2y2

Combine like terms: -2y2 + 2y2 = 0
108 + -24y + 0 = -12y + -2y2 + 2y2
108 + -24y = -12y + -2y2 + 2y2

Combine like terms: -2y2 + 2y2 = 0
108 + -24y = -12y + 0
108 + -24y = -12y

Solving
108 + -24y = -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.
108 + -24y + 12y = -12y + 12y

Combine like terms: -24y + 12y = -12y
108 + -12y = -12y + 12y

Combine like terms: -12y + 12y = 0
108 + -12y = 0

Add '-108' to each side of the equation.
108 + -108 + -12y = 0 + -108

Combine like terms: 108 + -108 = 0
0 + -12y = 0 + -108
-12y = 0 + -108

Combine like terms: 0 + -108 = -108
-12y = -108

Divide each side by '-12'.
y = 9

Simplifying
y = 9

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