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Simplifying 29 + 14(y + -3) = -98(y + -8) Reorder the terms: 29 + 14(-3 + y) = -98(y + -8) 29 + (-3 * 14 + y * 14) = -98(y + -8) 29 + (-42 + 14y) = -98(y + -8) Combine like terms: 29 + -42 = -13 -13 + 14y = -98(y + -8) Reorder the terms: -13 + 14y = -98(-8 + y) -13 + 14y = (-8 * -98 + y * -98) -13 + 14y = (784 + -98y) Solving -13 + 14y = 784 + -98y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '98y' to each side of the equation. -13 + 14y + 98y = 784 + -98y + 98y Combine like terms: 14y + 98y = 112y -13 + 112y = 784 + -98y + 98y Combine like terms: -98y + 98y = 0 -13 + 112y = 784 + 0 -13 + 112y = 784 Add '13' to each side of the equation. -13 + 13 + 112y = 784 + 13 Combine like terms: -13 + 13 = 0 0 + 112y = 784 + 13 112y = 784 + 13 Combine like terms: 784 + 13 = 797 112y = 797 Divide each side by '112'. y = 7.116071429 Simplifying y = 7.116071429
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