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Simplifying -27 = -7y + 5(y + -3) Reorder the terms: -27 = -7y + 5(-3 + y) -27 = -7y + (-3 * 5 + y * 5) -27 = -7y + (-15 + 5y) Reorder the terms: -27 = -15 + -7y + 5y Combine like terms: -7y + 5y = -2y -27 = -15 + -2y Solving -27 = -15 + -2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '2y' to each side of the equation. -27 + 2y = -15 + -2y + 2y Combine like terms: -2y + 2y = 0 -27 + 2y = -15 + 0 -27 + 2y = -15 Add '27' to each side of the equation. -27 + 27 + 2y = -15 + 27 Combine like terms: -27 + 27 = 0 0 + 2y = -15 + 27 2y = -15 + 27 Combine like terms: -15 + 27 = 12 2y = 12 Divide each side by '2'. y = 6 Simplifying y = 6
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