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Simplifying -29 + -6y = 2(4y + 9) Reorder the terms: -29 + -6y = 2(9 + 4y) -29 + -6y = (9 * 2 + 4y * 2) -29 + -6y = (18 + 8y) Solving -29 + -6y = 18 + 8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-8y' to each side of the equation. -29 + -6y + -8y = 18 + 8y + -8y Combine like terms: -6y + -8y = -14y -29 + -14y = 18 + 8y + -8y Combine like terms: 8y + -8y = 0 -29 + -14y = 18 + 0 -29 + -14y = 18 Add '29' to each side of the equation. -29 + 29 + -14y = 18 + 29 Combine like terms: -29 + 29 = 0 0 + -14y = 18 + 29 -14y = 18 + 29 Combine like terms: 18 + 29 = 47 -14y = 47 Divide each side by '-14'. y = -3.357142857 Simplifying y = -3.357142857
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