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Simplifying -3y + -3(9y + 3) = 9 + -3(6 + -1y) Reorder the terms: -3y + -3(3 + 9y) = 9 + -3(6 + -1y) -3y + (3 * -3 + 9y * -3) = 9 + -3(6 + -1y) -3y + (-9 + -27y) = 9 + -3(6 + -1y) Reorder the terms: -9 + -3y + -27y = 9 + -3(6 + -1y) Combine like terms: -3y + -27y = -30y -9 + -30y = 9 + -3(6 + -1y) -9 + -30y = 9 + (6 * -3 + -1y * -3) -9 + -30y = 9 + (-18 + 3y) Combine like terms: 9 + -18 = -9 -9 + -30y = -9 + 3y Add '9' to each side of the equation. -9 + 9 + -30y = -9 + 9 + 3y Combine like terms: -9 + 9 = 0 0 + -30y = -9 + 9 + 3y -30y = -9 + 9 + 3y Combine like terms: -9 + 9 = 0 -30y = 0 + 3y -30y = 3y Solving -30y = 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. -30y + -3y = 3y + -3y Combine like terms: -30y + -3y = -33y -33y = 3y + -3y Combine like terms: 3y + -3y = 0 -33y = 0 Divide each side by '-33'. y = 0 Simplifying y = 0
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