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Simplifying (5y + 2)(y + -3) = -13(2 + y) Reorder the terms: (2 + 5y)(y + -3) = -13(2 + y) Reorder the terms: (2 + 5y)(-3 + y) = -13(2 + y) Multiply (2 + 5y) * (-3 + y) (2(-3 + y) + 5y * (-3 + y)) = -13(2 + y) ((-3 * 2 + y * 2) + 5y * (-3 + y)) = -13(2 + y) ((-6 + 2y) + 5y * (-3 + y)) = -13(2 + y) (-6 + 2y + (-3 * 5y + y * 5y)) = -13(2 + y) (-6 + 2y + (-15y + 5y2)) = -13(2 + y) Combine like terms: 2y + -15y = -13y (-6 + -13y + 5y2) = -13(2 + y) -6 + -13y + 5y2 = (2 * -13 + y * -13) -6 + -13y + 5y2 = (-26 + -13y) Add '13y' to each side of the equation. -6 + -13y + 13y + 5y2 = -26 + -13y + 13y Combine like terms: -13y + 13y = 0 -6 + 0 + 5y2 = -26 + -13y + 13y -6 + 5y2 = -26 + -13y + 13y Combine like terms: -13y + 13y = 0 -6 + 5y2 = -26 + 0 -6 + 5y2 = -26 Solving -6 + 5y2 = -26 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 5y2 = -26 + 6 Combine like terms: -6 + 6 = 0 0 + 5y2 = -26 + 6 5y2 = -26 + 6 Combine like terms: -26 + 6 = -20 5y2 = -20 Divide each side by '5'. y2 = -4 Simplifying y2 = -4 Reorder the terms: 4 + y2 = -4 + 4 Combine like terms: -4 + 4 = 0 4 + y2 = 0 The solution to this equation could not be determined.
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