2y(y-7)+y(3y-4)+2=y(2y+3)+3y(y-8)+2y

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Solution for 2y(y-7)+y(3y-4)+2=y(2y+3)+3y(y-8)+2y equation: 


Simplifying
2y(y + -7) + y(3y + -4) + 2 = y(2y + 3) + 3y(y + -8) + 2y

Reorder the terms:
2y(-7 + y) + y(3y + -4) + 2 = y(2y + 3) + 3y(y + -8) + 2y
(-7 * 2y + y * 2y) + y(3y + -4) + 2 = y(2y + 3) + 3y(y + -8) + 2y
(-14y + 2y2) + y(3y + -4) + 2 = y(2y + 3) + 3y(y + -8) + 2y

Reorder the terms:
-14y + 2y2 + y(-4 + 3y) + 2 = y(2y + 3) + 3y(y + -8) + 2y
-14y + 2y2 + (-4 * y + 3y * y) + 2 = y(2y + 3) + 3y(y + -8) + 2y
-14y + 2y2 + (-4y + 3y2) + 2 = y(2y + 3) + 3y(y + -8) + 2y

Reorder the terms:
2 + -14y + -4y + 2y2 + 3y2 = y(2y + 3) + 3y(y + -8) + 2y

Combine like terms: -14y + -4y = -18y
2 + -18y + 2y2 + 3y2 = y(2y + 3) + 3y(y + -8) + 2y

Combine like terms: 2y2 + 3y2 = 5y2
2 + -18y + 5y2 = y(2y + 3) + 3y(y + -8) + 2y

Reorder the terms:
2 + -18y + 5y2 = y(3 + 2y) + 3y(y + -8) + 2y
2 + -18y + 5y2 = (3 * y + 2y * y) + 3y(y + -8) + 2y
2 + -18y + 5y2 = (3y + 2y2) + 3y(y + -8) + 2y

Reorder the terms:
2 + -18y + 5y2 = 3y + 2y2 + 3y(-8 + y) + 2y
2 + -18y + 5y2 = 3y + 2y2 + (-8 * 3y + y * 3y) + 2y
2 + -18y + 5y2 = 3y + 2y2 + (-24y + 3y2) + 2y

Reorder the terms:
2 + -18y + 5y2 = 3y + -24y + 2y + 2y2 + 3y2

Combine like terms: 3y + -24y = -21y
2 + -18y + 5y2 = -21y + 2y + 2y2 + 3y2

Combine like terms: -21y + 2y = -19y
2 + -18y + 5y2 = -19y + 2y2 + 3y2

Combine like terms: 2y2 + 3y2 = 5y2
2 + -18y + 5y2 = -19y + 5y2

Add '-5y2' to each side of the equation.
2 + -18y + 5y2 + -5y2 = -19y + 5y2 + -5y2

Combine like terms: 5y2 + -5y2 = 0
2 + -18y + 0 = -19y + 5y2 + -5y2
2 + -18y = -19y + 5y2 + -5y2

Combine like terms: 5y2 + -5y2 = 0
2 + -18y = -19y + 0
2 + -18y = -19y

Solving
2 + -18y = -19y

Solving for variable 'y'.

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

Add '19y' to each side of the equation.
2 + -18y + 19y = -19y + 19y

Combine like terms: -18y + 19y = 1y
2 + 1y = -19y + 19y

Combine like terms: -19y + 19y = 0
2 + 1y = 0

Add '-2' to each side of the equation.
2 + -2 + 1y = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 1y = 0 + -2
1y = 0 + -2

Combine like terms: 0 + -2 = -2
1y = -2

Divide each side by '1'.
y = -2

Simplifying
y = -2

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