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Simplifying -5 + -1(1y + -1) = 2(7y + -16) + -1y Reorder the terms: -5 + -1(-1 + 1y) = 2(7y + -16) + -1y -5 + (-1 * -1 + 1y * -1) = 2(7y + -16) + -1y -5 + (1 + -1y) = 2(7y + -16) + -1y Combine like terms: -5 + 1 = -4 -4 + -1y = 2(7y + -16) + -1y Reorder the terms: -4 + -1y = 2(-16 + 7y) + -1y -4 + -1y = (-16 * 2 + 7y * 2) + -1y -4 + -1y = (-32 + 14y) + -1y Combine like terms: 14y + -1y = 13y -4 + -1y = -32 + 13y Solving -4 + -1y = -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 + -1y + -13y = -32 + 13y + -13y Combine like terms: -1y + -13y = -14y -4 + -14y = -32 + 13y + -13y Combine like terms: 13y + -13y = 0 -4 + -14y = -32 + 0 -4 + -14y = -32 Add '4' to each side of the equation. -4 + 4 + -14y = -32 + 4 Combine like terms: -4 + 4 = 0 0 + -14y = -32 + 4 -14y = -32 + 4 Combine like terms: -32 + 4 = -28 -14y = -28 Divide each side by '-14'. y = 2 Simplifying y = 2
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