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Simplifying 45 + 5y + -14 = 14y + -11 + -2y Reorder the terms: 45 + -14 + 5y = 14y + -11 + -2y Combine like terms: 45 + -14 = 31 31 + 5y = 14y + -11 + -2y Reorder the terms: 31 + 5y = -11 + 14y + -2y Combine like terms: 14y + -2y = 12y 31 + 5y = -11 + 12y Solving 31 + 5y = -11 + 12y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-12y' to each side of the equation. 31 + 5y + -12y = -11 + 12y + -12y Combine like terms: 5y + -12y = -7y 31 + -7y = -11 + 12y + -12y Combine like terms: 12y + -12y = 0 31 + -7y = -11 + 0 31 + -7y = -11 Add '-31' to each side of the equation. 31 + -31 + -7y = -11 + -31 Combine like terms: 31 + -31 = 0 0 + -7y = -11 + -31 -7y = -11 + -31 Combine like terms: -11 + -31 = -42 -7y = -42 Divide each side by '-7'. y = 6 Simplifying y = 6
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