2-(y-5)(7-2y)-y(2y-3)=

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Solution for 2-(y-5)(7-2y)-y(2y-3)= equation: 


Simplifying
2 + -1(y + -5)(7 + -2y) + -1y(2y + -3) = 0

Reorder the terms:
2 + -1(-5 + y)(7 + -2y) + -1y(2y + -3) = 0

Multiply (-5 + y) * (7 + -2y)
2 + -1(-5(7 + -2y) + y(7 + -2y)) + -1y(2y + -3) = 0
2 + -1((7 * -5 + -2y * -5) + y(7 + -2y)) + -1y(2y + -3) = 0
2 + -1((-35 + 10y) + y(7 + -2y)) + -1y(2y + -3) = 0
2 + -1(-35 + 10y + (7 * y + -2y * y)) + -1y(2y + -3) = 0
2 + -1(-35 + 10y + (7y + -2y2)) + -1y(2y + -3) = 0

Combine like terms: 10y + 7y = 17y
2 + -1(-35 + 17y + -2y2) + -1y(2y + -3) = 0
2 + (-35 * -1 + 17y * -1 + -2y2 * -1) + -1y(2y + -3) = 0
2 + (35 + -17y + 2y2) + -1y(2y + -3) = 0

Reorder the terms:
2 + 35 + -17y + 2y2 + -1y(-3 + 2y) = 0
2 + 35 + -17y + 2y2 + (-3 * -1y + 2y * -1y) = 0
2 + 35 + -17y + 2y2 + (3y + -2y2) = 0

Reorder the terms:
2 + 35 + -17y + 3y + 2y2 + -2y2 = 0

Combine like terms: 2 + 35 = 37
37 + -17y + 3y + 2y2 + -2y2 = 0

Combine like terms: -17y + 3y = -14y
37 + -14y + 2y2 + -2y2 = 0

Combine like terms: 2y2 + -2y2 = 0
37 + -14y + 0 = 0
37 + -14y = 0

Solving
37 + -14y = 0

Solving for variable 'y'.

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

Add '-37' to each side of the equation.
37 + -37 + -14y = 0 + -37

Combine like terms: 37 + -37 = 0
0 + -14y = 0 + -37
-14y = 0 + -37

Combine like terms: 0 + -37 = -37
-14y = -37

Divide each side by '-14'.
y = 2.642857143

Simplifying
y = 2.642857143

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