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Simplifying 2(y + 4) + 7(y + -5) + 6 = 0 Reorder the terms: 2(4 + y) + 7(y + -5) + 6 = 0 (4 * 2 + y * 2) + 7(y + -5) + 6 = 0 (8 + 2y) + 7(y + -5) + 6 = 0 Reorder the terms: 8 + 2y + 7(-5 + y) + 6 = 0 8 + 2y + (-5 * 7 + y * 7) + 6 = 0 8 + 2y + (-35 + 7y) + 6 = 0 Reorder the terms: 8 + -35 + 6 + 2y + 7y = 0 Combine like terms: 8 + -35 = -27 -27 + 6 + 2y + 7y = 0 Combine like terms: -27 + 6 = -21 -21 + 2y + 7y = 0 Combine like terms: 2y + 7y = 9y -21 + 9y = 0 Solving -21 + 9y = 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 + 9y = 0 + 21 Combine like terms: -21 + 21 = 0 0 + 9y = 0 + 21 9y = 0 + 21 Combine like terms: 0 + 21 = 21 9y = 21 Divide each side by '9'. y = 2.333333333 Simplifying y = 2.333333333
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