2y(y+3)-7y=y(y+3)+y(y-6)+8

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Solution for 2y(y+3)-7y=y(y+3)+y(y-6)+8 equation: 


Simplifying
2y(y + 3) + -7y = y(y + 3) + y(y + -6) + 8

Reorder the terms:
2y(3 + y) + -7y = y(y + 3) + y(y + -6) + 8
(3 * 2y + y * 2y) + -7y = y(y + 3) + y(y + -6) + 8
(6y + 2y2) + -7y = y(y + 3) + y(y + -6) + 8

Reorder the terms:
6y + -7y + 2y2 = y(y + 3) + y(y + -6) + 8

Combine like terms: 6y + -7y = -1y
-1y + 2y2 = y(y + 3) + y(y + -6) + 8

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

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

Reorder the terms:
-1y + 2y2 = 8 + 3y + -6y + y2 + y2

Combine like terms: 3y + -6y = -3y
-1y + 2y2 = 8 + -3y + y2 + y2

Combine like terms: y2 + y2 = 2y2
-1y + 2y2 = 8 + -3y + 2y2

Add '-2y2' to each side of the equation.
-1y + 2y2 + -2y2 = 8 + -3y + 2y2 + -2y2

Combine like terms: 2y2 + -2y2 = 0
-1y + 0 = 8 + -3y + 2y2 + -2y2
-1y = 8 + -3y + 2y2 + -2y2

Combine like terms: 2y2 + -2y2 = 0
-1y = 8 + -3y + 0
-1y = 8 + -3y

Solving
-1y = 8 + -3y

Solving for variable 'y'.

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

Add '3y' to each side of the equation.
-1y + 3y = 8 + -3y + 3y

Combine like terms: -1y + 3y = 2y
2y = 8 + -3y + 3y

Combine like terms: -3y + 3y = 0
2y = 8 + 0
2y = 8

Divide each side by '2'.
y = 4

Simplifying
y = 4

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