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Simplifying 27 = -3(21 + -1y) + 3(y + -2) 27 = (21 * -3 + -1y * -3) + 3(y + -2) 27 = (-63 + 3y) + 3(y + -2) Reorder the terms: 27 = -63 + 3y + 3(-2 + y) 27 = -63 + 3y + (-2 * 3 + y * 3) 27 = -63 + 3y + (-6 + 3y) Reorder the terms: 27 = -63 + -6 + 3y + 3y Combine like terms: -63 + -6 = -69 27 = -69 + 3y + 3y Combine like terms: 3y + 3y = 6y 27 = -69 + 6y Solving 27 = -69 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. 27 + -6y = -69 + 6y + -6y Combine like terms: 6y + -6y = 0 27 + -6y = -69 + 0 27 + -6y = -69 Add '-27' to each side of the equation. 27 + -27 + -6y = -69 + -27 Combine like terms: 27 + -27 = 0 0 + -6y = -69 + -27 -6y = -69 + -27 Combine like terms: -69 + -27 = -96 -6y = -96 Divide each side by '-6'. y = 16 Simplifying y = 16
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