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Simplifying 4(y + 3) + 7(y + -2) + 6 = 0 Reorder the terms: 4(3 + y) + 7(y + -2) + 6 = 0 (3 * 4 + y * 4) + 7(y + -2) + 6 = 0 (12 + 4y) + 7(y + -2) + 6 = 0 Reorder the terms: 12 + 4y + 7(-2 + y) + 6 = 0 12 + 4y + (-2 * 7 + y * 7) + 6 = 0 12 + 4y + (-14 + 7y) + 6 = 0 Reorder the terms: 12 + -14 + 6 + 4y + 7y = 0 Combine like terms: 12 + -14 = -2 -2 + 6 + 4y + 7y = 0 Combine like terms: -2 + 6 = 4 4 + 4y + 7y = 0 Combine like terms: 4y + 7y = 11y 4 + 11y = 0 Solving 4 + 11y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 11y = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 11y = 0 + -4 11y = 0 + -4 Combine like terms: 0 + -4 = -4 11y = -4 Divide each side by '11'. y = -0.3636363636 Simplifying y = -0.3636363636
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