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Simplifying 2y + 3(y + -9) = -1(3y + -18) + -1y Reorder the terms: 2y + 3(-9 + y) = -1(3y + -18) + -1y 2y + (-9 * 3 + y * 3) = -1(3y + -18) + -1y 2y + (-27 + 3y) = -1(3y + -18) + -1y Reorder the terms: -27 + 2y + 3y = -1(3y + -18) + -1y Combine like terms: 2y + 3y = 5y -27 + 5y = -1(3y + -18) + -1y Reorder the terms: -27 + 5y = -1(-18 + 3y) + -1y -27 + 5y = (-18 * -1 + 3y * -1) + -1y -27 + 5y = (18 + -3y) + -1y Combine like terms: -3y + -1y = -4y -27 + 5y = 18 + -4y Solving -27 + 5y = 18 + -4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '4y' to each side of the equation. -27 + 5y + 4y = 18 + -4y + 4y Combine like terms: 5y + 4y = 9y -27 + 9y = 18 + -4y + 4y Combine like terms: -4y + 4y = 0 -27 + 9y = 18 + 0 -27 + 9y = 18 Add '27' to each side of the equation. -27 + 27 + 9y = 18 + 27 Combine like terms: -27 + 27 = 0 0 + 9y = 18 + 27 9y = 18 + 27 Combine like terms: 18 + 27 = 45 9y = 45 Divide each side by '9'. y = 5 Simplifying y = 5
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