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Simplifying 3(y + 3) = -3(3y + -1) + 8y Reorder the terms: 3(3 + y) = -3(3y + -1) + 8y (3 * 3 + y * 3) = -3(3y + -1) + 8y (9 + 3y) = -3(3y + -1) + 8y Reorder the terms: 9 + 3y = -3(-1 + 3y) + 8y 9 + 3y = (-1 * -3 + 3y * -3) + 8y 9 + 3y = (3 + -9y) + 8y Combine like terms: -9y + 8y = -1y 9 + 3y = 3 + -1y Solving 9 + 3y = 3 + -1y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add 'y' to each side of the equation. 9 + 3y + y = 3 + -1y + y Combine like terms: 3y + y = 4y 9 + 4y = 3 + -1y + y Combine like terms: -1y + y = 0 9 + 4y = 3 + 0 9 + 4y = 3 Add '-9' to each side of the equation. 9 + -9 + 4y = 3 + -9 Combine like terms: 9 + -9 = 0 0 + 4y = 3 + -9 4y = 3 + -9 Combine like terms: 3 + -9 = -6 4y = -6 Divide each side by '4'. y = -1.5 Simplifying y = -1.5
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