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Simplifying -5 + (15y + -1) = 2(7y + -16) + -1y Reorder the terms: -5 + (-1 + 15y) = 2(7y + -16) + -1y Remove parenthesis around (-1 + 15y) -5 + -1 + 15y = 2(7y + -16) + -1y Combine like terms: -5 + -1 = -6 -6 + 15y = 2(7y + -16) + -1y Reorder the terms: -6 + 15y = 2(-16 + 7y) + -1y -6 + 15y = (-16 * 2 + 7y * 2) + -1y -6 + 15y = (-32 + 14y) + -1y Combine like terms: 14y + -1y = 13y -6 + 15y = -32 + 13y Solving -6 + 15y = -32 + 13y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-13y' to each side of the equation. -6 + 15y + -13y = -32 + 13y + -13y Combine like terms: 15y + -13y = 2y -6 + 2y = -32 + 13y + -13y Combine like terms: 13y + -13y = 0 -6 + 2y = -32 + 0 -6 + 2y = -32 Add '6' to each side of the equation. -6 + 6 + 2y = -32 + 6 Combine like terms: -6 + 6 = 0 0 + 2y = -32 + 6 2y = -32 + 6 Combine like terms: -32 + 6 = -26 2y = -26 Divide each side by '2'. y = -13 Simplifying y = -13
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