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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 = -4 -4 + 15y = 2(7y + -16) + -1y Reorder the terms: -4 + 15y = 2(-16 + 7y) + -1y -4 + 15y = (-16 * 2 + 7y * 2) + -1y -4 + 15y = (-32 + 14y) + -1y Combine like terms: 14y + -1y = 13y -4 + 15y = -32 + 13y Solving -4 + 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. -4 + 15y + -13y = -32 + 13y + -13y Combine like terms: 15y + -13y = 2y -4 + 2y = -32 + 13y + -13y Combine like terms: 13y + -13y = 0 -4 + 2y = -32 + 0 -4 + 2y = -32 Add '4' to each side of the equation. -4 + 4 + 2y = -32 + 4 Combine like terms: -4 + 4 = 0 0 + 2y = -32 + 4 2y = -32 + 4 Combine like terms: -32 + 4 = -28 2y = -28 Divide each side by '2'. y = -14 Simplifying y = -14
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