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Simplifying 2 + -1(y + -5)(7 + -2y) = y(2y + -3) Reorder the terms: 2 + -1(-5 + y)(7 + -2y) = y(2y + -3) Multiply (-5 + y) * (7 + -2y) 2 + -1(-5(7 + -2y) + y(7 + -2y)) = y(2y + -3) 2 + -1((7 * -5 + -2y * -5) + y(7 + -2y)) = y(2y + -3) 2 + -1((-35 + 10y) + y(7 + -2y)) = y(2y + -3) 2 + -1(-35 + 10y + (7 * y + -2y * y)) = y(2y + -3) 2 + -1(-35 + 10y + (7y + -2y2)) = y(2y + -3) Combine like terms: 10y + 7y = 17y 2 + -1(-35 + 17y + -2y2) = y(2y + -3) 2 + (-35 * -1 + 17y * -1 + -2y2 * -1) = y(2y + -3) 2 + (35 + -17y + 2y2) = y(2y + -3) Combine like terms: 2 + 35 = 37 37 + -17y + 2y2 = y(2y + -3) Reorder the terms: 37 + -17y + 2y2 = y(-3 + 2y) 37 + -17y + 2y2 = (-3 * y + 2y * y) 37 + -17y + 2y2 = (-3y + 2y2) Add '-2y2' to each side of the equation. 37 + -17y + 2y2 + -2y2 = -3y + 2y2 + -2y2 Combine like terms: 2y2 + -2y2 = 0 37 + -17y + 0 = -3y + 2y2 + -2y2 37 + -17y = -3y + 2y2 + -2y2 Combine like terms: 2y2 + -2y2 = 0 37 + -17y = -3y + 0 37 + -17y = -3y Solving 37 + -17y = -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. 37 + -17y + 3y = -3y + 3y Combine like terms: -17y + 3y = -14y 37 + -14y = -3y + 3y Combine like terms: -3y + 3y = 0 37 + -14y = 0 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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