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Simplifying -1(y + 1) + -1y = 5y + 27 Reorder the terms: -1(1 + y) + -1y = 5y + 27 (1 * -1 + y * -1) + -1y = 5y + 27 (-1 + -1y) + -1y = 5y + 27 Combine like terms: -1y + -1y = -2y -1 + -2y = 5y + 27 Reorder the terms: -1 + -2y = 27 + 5y Solving -1 + -2y = 27 + 5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5y' to each side of the equation. -1 + -2y + -5y = 27 + 5y + -5y Combine like terms: -2y + -5y = -7y -1 + -7y = 27 + 5y + -5y Combine like terms: 5y + -5y = 0 -1 + -7y = 27 + 0 -1 + -7y = 27 Add '1' to each side of the equation. -1 + 1 + -7y = 27 + 1 Combine like terms: -1 + 1 = 0 0 + -7y = 27 + 1 -7y = 27 + 1 Combine like terms: 27 + 1 = 28 -7y = 28 Divide each side by '-7'. y = -4 Simplifying y = -4
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