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Simplifying 3 + 3(2y + -3) + -3(4y + 2) + -9 = 0 Reorder the terms: 3 + 3(-3 + 2y) + -3(4y + 2) + -9 = 0 3 + (-3 * 3 + 2y * 3) + -3(4y + 2) + -9 = 0 3 + (-9 + 6y) + -3(4y + 2) + -9 = 0 Reorder the terms: 3 + -9 + 6y + -3(2 + 4y) + -9 = 0 3 + -9 + 6y + (2 * -3 + 4y * -3) + -9 = 0 3 + -9 + 6y + (-6 + -12y) + -9 = 0 Reorder the terms: 3 + -9 + -6 + -9 + 6y + -12y = 0 Combine like terms: 3 + -9 = -6 -6 + -6 + -9 + 6y + -12y = 0 Combine like terms: -6 + -6 = -12 -12 + -9 + 6y + -12y = 0 Combine like terms: -12 + -9 = -21 -21 + 6y + -12y = 0 Combine like terms: 6y + -12y = -6y -21 + -6y = 0 Solving -21 + -6y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 21 + -6y = 0 + 21 Combine like terms: -21 + 21 = 0 0 + -6y = 0 + 21 -6y = 0 + 21 Combine like terms: 0 + 21 = 21 -6y = 21 Divide each side by '-6'. y = -3.5 Simplifying y = -3.5
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