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Simplifying 7(2y + -6) + -1(3y + 9) = 0 Reorder the terms: 7(-6 + 2y) + -1(3y + 9) = 0 (-6 * 7 + 2y * 7) + -1(3y + 9) = 0 (-42 + 14y) + -1(3y + 9) = 0 Reorder the terms: -42 + 14y + -1(9 + 3y) = 0 -42 + 14y + (9 * -1 + 3y * -1) = 0 -42 + 14y + (-9 + -3y) = 0 Reorder the terms: -42 + -9 + 14y + -3y = 0 Combine like terms: -42 + -9 = -51 -51 + 14y + -3y = 0 Combine like terms: 14y + -3y = 11y -51 + 11y = 0 Solving -51 + 11y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '51' to each side of the equation. -51 + 51 + 11y = 0 + 51 Combine like terms: -51 + 51 = 0 0 + 11y = 0 + 51 11y = 0 + 51 Combine like terms: 0 + 51 = 51 11y = 51 Divide each side by '11'. y = 4.636363636 Simplifying y = 4.636363636
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