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Simplifying ((25y + -10) + 10)(y + -0.40) = ((25y) + -5)(y + 0.5) Reorder the terms: ((-10 + 25y) + 10)(y + -0.40) = ((25y) + -5)(y + 0.5) Remove parenthesis around (-10 + 25y) (-10 + 25y + 10)(y + -0.40) = ((25y) + -5)(y + 0.5) Reorder the terms: (-10 + 10 + 25y)(y + -0.40) = ((25y) + -5)(y + 0.5) Combine like terms: -10 + 10 = 0 (0 + 25y)(y + -0.40) = ((25y) + -5)(y + 0.5) (25y)(y + -0.40) = ((25y) + -5)(y + 0.5) Remove parenthesis around (25y) 25y(y + -0.40) = ((25y) + -5)(y + 0.5) Reorder the terms: 25y(-0.40 + y) = ((25y) + -5)(y + 0.5) (-0.40 * 25y + y * 25y) = ((25y) + -5)(y + 0.5) (-10y + 25y2) = ((25y) + -5)(y + 0.5) Reorder the terms: -10y + 25y2 = (-5 + (25y))(y + 0.5) Reorder the terms: -10y + 25y2 = (-5 + (25y))(0.5 + y) Multiply (-5 + (25y)) * (0.5 + y) -10y + 25y2 = (-5(0.5 + y) + (25y)(0.5 + y)) -10y + 25y2 = ((0.5 * -5 + y * -5) + (25y)(0.5 + y)) -10y + 25y2 = ((-2.5 + -5y) + (25y)(0.5 + y)) -10y + 25y2 = (-2.5 + -5y + (0.5 * 25y + y * 25y)) -10y + 25y2 = (-2.5 + -5y + (12.5y + 25y2)) Combine like terms: -5y + 12.5y = 7.5y -10y + 25y2 = (-2.5 + 7.5y + 25y2) Add '-25y2' to each side of the equation. -10y + 25y2 + -25y2 = -2.5 + 7.5y + 25y2 + -25y2 Combine like terms: 25y2 + -25y2 = 0 -10y + 0 = -2.5 + 7.5y + 25y2 + -25y2 -10y = -2.5 + 7.5y + 25y2 + -25y2 Combine like terms: 25y2 + -25y2 = 0 -10y = -2.5 + 7.5y + 0 -10y = -2.5 + 7.5y Solving -10y = -2.5 + 7.5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-7.5y' to each side of the equation. -10y + -7.5y = -2.5 + 7.5y + -7.5y Combine like terms: -10y + -7.5y = -17.5y -17.5y = -2.5 + 7.5y + -7.5y Combine like terms: 7.5y + -7.5y = 0.0 -17.5y = -2.5 + 0.0 -17.5y = -2.5 Divide each side by '-17.5'. y = 0.1428571429 Simplifying y = 0.1428571429
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