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Simplifying 3(2y + -2) + 3(3y + 6) = 0 Reorder the terms: 3(-2 + 2y) + 3(3y + 6) = 0 (-2 * 3 + 2y * 3) + 3(3y + 6) = 0 (-6 + 6y) + 3(3y + 6) = 0 Reorder the terms: -6 + 6y + 3(6 + 3y) = 0 -6 + 6y + (6 * 3 + 3y * 3) = 0 -6 + 6y + (18 + 9y) = 0 Reorder the terms: -6 + 18 + 6y + 9y = 0 Combine like terms: -6 + 18 = 12 12 + 6y + 9y = 0 Combine like terms: 6y + 9y = 15y 12 + 15y = 0 Solving 12 + 15y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 15y = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 15y = 0 + -12 15y = 0 + -12 Combine like terms: 0 + -12 = -12 15y = -12 Divide each side by '15'. y = -0.8 Simplifying y = -0.8
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