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Simplifying -5y + -1(15y + -1) = 2(7y + -16) + -1y Reorder the terms: -5y + -1(-1 + 15y) = 2(7y + -16) + -1y -5y + (-1 * -1 + 15y * -1) = 2(7y + -16) + -1y -5y + (1 + -15y) = 2(7y + -16) + -1y Reorder the terms: 1 + -5y + -15y = 2(7y + -16) + -1y Combine like terms: -5y + -15y = -20y 1 + -20y = 2(7y + -16) + -1y Reorder the terms: 1 + -20y = 2(-16 + 7y) + -1y 1 + -20y = (-16 * 2 + 7y * 2) + -1y 1 + -20y = (-32 + 14y) + -1y Combine like terms: 14y + -1y = 13y 1 + -20y = -32 + 13y Solving 1 + -20y = -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. 1 + -20y + -13y = -32 + 13y + -13y Combine like terms: -20y + -13y = -33y 1 + -33y = -32 + 13y + -13y Combine like terms: 13y + -13y = 0 1 + -33y = -32 + 0 1 + -33y = -32 Add '-1' to each side of the equation. 1 + -1 + -33y = -32 + -1 Combine like terms: 1 + -1 = 0 0 + -33y = -32 + -1 -33y = -32 + -1 Combine like terms: -32 + -1 = -33 -33y = -33 Divide each side by '-33'. y = 1 Simplifying y = 1
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