17y(20y+8)-14y+8y(-3y+3)=2y(158y-10)

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Solution for 17y(20y+8)-14y+8y(-3y+3)=2y(158y-10) equation: 


Simplifying
17y(20y + 8) + -14y + 8y(-3y + 3) = 2y(158y + -10)

Reorder the terms:
17y(8 + 20y) + -14y + 8y(-3y + 3) = 2y(158y + -10)
(8 * 17y + 20y * 17y) + -14y + 8y(-3y + 3) = 2y(158y + -10)
(136y + 340y2) + -14y + 8y(-3y + 3) = 2y(158y + -10)

Reorder the terms:
136y + 340y2 + -14y + 8y(3 + -3y) = 2y(158y + -10)
136y + 340y2 + -14y + (3 * 8y + -3y * 8y) = 2y(158y + -10)
136y + 340y2 + -14y + (24y + -24y2) = 2y(158y + -10)

Reorder the terms:
136y + -14y + 24y + 340y2 + -24y2 = 2y(158y + -10)

Combine like terms: 136y + -14y = 122y
122y + 24y + 340y2 + -24y2 = 2y(158y + -10)

Combine like terms: 122y + 24y = 146y
146y + 340y2 + -24y2 = 2y(158y + -10)

Combine like terms: 340y2 + -24y2 = 316y2
146y + 316y2 = 2y(158y + -10)

Reorder the terms:
146y + 316y2 = 2y(-10 + 158y)
146y + 316y2 = (-10 * 2y + 158y * 2y)
146y + 316y2 = (-20y + 316y2)

Add '-316y2' to each side of the equation.
146y + 316y2 + -316y2 = -20y + 316y2 + -316y2

Combine like terms: 316y2 + -316y2 = 0
146y + 0 = -20y + 316y2 + -316y2
146y = -20y + 316y2 + -316y2

Combine like terms: 316y2 + -316y2 = 0
146y = -20y + 0
146y = -20y

Solving
146y = -20y

Solving for variable 'y'.

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

Add '20y' to each side of the equation.
146y + 20y = -20y + 20y

Combine like terms: 146y + 20y = 166y
166y = -20y + 20y

Combine like terms: -20y + 20y = 0
166y = 0

Divide each side by '166'.
y = 0

Simplifying
y = 0

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