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Simplifying 19y + -5y + 29 = 6y + -27 Reorder the terms: 29 + 19y + -5y = 6y + -27 Combine like terms: 19y + -5y = 14y 29 + 14y = 6y + -27 Reorder the terms: 29 + 14y = -27 + 6y Solving 29 + 14y = -27 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. 29 + 14y + -6y = -27 + 6y + -6y Combine like terms: 14y + -6y = 8y 29 + 8y = -27 + 6y + -6y Combine like terms: 6y + -6y = 0 29 + 8y = -27 + 0 29 + 8y = -27 Add '-29' to each side of the equation. 29 + -29 + 8y = -27 + -29 Combine like terms: 29 + -29 = 0 0 + 8y = -27 + -29 8y = -27 + -29 Combine like terms: -27 + -29 = -56 8y = -56 Divide each side by '8'. y = -7 Simplifying y = -7
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