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