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Simplifying 3(y + 4) + 6(y + -5) + 4 = 0 Reorder the terms: 3(4 + y) + 6(y + -5) + 4 = 0 (4 * 3 + y * 3) + 6(y + -5) + 4 = 0 (12 + 3y) + 6(y + -5) + 4 = 0 Reorder the terms: 12 + 3y + 6(-5 + y) + 4 = 0 12 + 3y + (-5 * 6 + y * 6) + 4 = 0 12 + 3y + (-30 + 6y) + 4 = 0 Reorder the terms: 12 + -30 + 4 + 3y + 6y = 0 Combine like terms: 12 + -30 = -18 -18 + 4 + 3y + 6y = 0 Combine like terms: -18 + 4 = -14 -14 + 3y + 6y = 0 Combine like terms: 3y + 6y = 9y -14 + 9y = 0 Solving -14 + 9y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + 9y = 0 + 14 Combine like terms: -14 + 14 = 0 0 + 9y = 0 + 14 9y = 0 + 14 Combine like terms: 0 + 14 = 14 9y = 14 Divide each side by '9'. y = 1.555555556 Simplifying y = 1.555555556
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