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Simplifying 3(y + 3) + -3(15 + -1y) = 0 Reorder the terms: 3(3 + y) + -3(15 + -1y) = 0 (3 * 3 + y * 3) + -3(15 + -1y) = 0 (9 + 3y) + -3(15 + -1y) = 0 9 + 3y + (15 * -3 + -1y * -3) = 0 9 + 3y + (-45 + 3y) = 0 Reorder the terms: 9 + -45 + 3y + 3y = 0 Combine like terms: 9 + -45 = -36 -36 + 3y + 3y = 0 Combine like terms: 3y + 3y = 6y -36 + 6y = 0 Solving -36 + 6y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '36' to each side of the equation. -36 + 36 + 6y = 0 + 36 Combine like terms: -36 + 36 = 0 0 + 6y = 0 + 36 6y = 0 + 36 Combine like terms: 0 + 36 = 36 6y = 36 Divide each side by '6'. y = 6 Simplifying y = 6
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