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Simplifying 47 + 5y + -14 = 15 + -9 + -3y Reorder the terms: 47 + -14 + 5y = 15 + -9 + -3y Combine like terms: 47 + -14 = 33 33 + 5y = 15 + -9 + -3y Combine like terms: 15 + -9 = 6 33 + 5y = 6 + -3y Solving 33 + 5y = 6 + -3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '3y' to each side of the equation. 33 + 5y + 3y = 6 + -3y + 3y Combine like terms: 5y + 3y = 8y 33 + 8y = 6 + -3y + 3y Combine like terms: -3y + 3y = 0 33 + 8y = 6 + 0 33 + 8y = 6 Add '-33' to each side of the equation. 33 + -33 + 8y = 6 + -33 Combine like terms: 33 + -33 = 0 0 + 8y = 6 + -33 8y = 6 + -33 Combine like terms: 6 + -33 = -27 8y = -27 Divide each side by '8'. y = -3.375 Simplifying y = -3.375
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