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Simplifying 2y + 3(y + -9) = -3(3y + -18) + -1y Reorder the terms: 2y + 3(-9 + y) = -3(3y + -18) + -1y 2y + (-9 * 3 + y * 3) = -3(3y + -18) + -1y 2y + (-27 + 3y) = -3(3y + -18) + -1y Reorder the terms: -27 + 2y + 3y = -3(3y + -18) + -1y Combine like terms: 2y + 3y = 5y -27 + 5y = -3(3y + -18) + -1y Reorder the terms: -27 + 5y = -3(-18 + 3y) + -1y -27 + 5y = (-18 * -3 + 3y * -3) + -1y -27 + 5y = (54 + -9y) + -1y Combine like terms: -9y + -1y = -10y -27 + 5y = 54 + -10y Solving -27 + 5y = 54 + -10y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '10y' to each side of the equation. -27 + 5y + 10y = 54 + -10y + 10y Combine like terms: 5y + 10y = 15y -27 + 15y = 54 + -10y + 10y Combine like terms: -10y + 10y = 0 -27 + 15y = 54 + 0 -27 + 15y = 54 Add '27' to each side of the equation. -27 + 27 + 15y = 54 + 27 Combine like terms: -27 + 27 = 0 0 + 15y = 54 + 27 15y = 54 + 27 Combine like terms: 54 + 27 = 81 15y = 81 Divide each side by '15'. y = 5.4 Simplifying y = 5.4
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