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Simplifying 51 + 5y + -15 = 14y + -13 + -2y Reorder the terms: 51 + -15 + 5y = 14y + -13 + -2y Combine like terms: 51 + -15 = 36 36 + 5y = 14y + -13 + -2y Reorder the terms: 36 + 5y = -13 + 14y + -2y Combine like terms: 14y + -2y = 12y 36 + 5y = -13 + 12y Solving 36 + 5y = -13 + 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. 36 + 5y + -12y = -13 + 12y + -12y Combine like terms: 5y + -12y = -7y 36 + -7y = -13 + 12y + -12y Combine like terms: 12y + -12y = 0 36 + -7y = -13 + 0 36 + -7y = -13 Add '-36' to each side of the equation. 36 + -36 + -7y = -13 + -36 Combine like terms: 36 + -36 = 0 0 + -7y = -13 + -36 -7y = -13 + -36 Combine like terms: -13 + -36 = -49 -7y = -49 Divide each side by '-7'. y = 7 Simplifying y = 7
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