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Simplifying 18 + 12y + -10 = 27y + 7 + -13y Reorder the terms: 18 + -10 + 12y = 27y + 7 + -13y Combine like terms: 18 + -10 = 8 8 + 12y = 27y + 7 + -13y Reorder the terms: 8 + 12y = 7 + 27y + -13y Combine like terms: 27y + -13y = 14y 8 + 12y = 7 + 14y Solving 8 + 12y = 7 + 14y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-14y' to each side of the equation. 8 + 12y + -14y = 7 + 14y + -14y Combine like terms: 12y + -14y = -2y 8 + -2y = 7 + 14y + -14y Combine like terms: 14y + -14y = 0 8 + -2y = 7 + 0 8 + -2y = 7 Add '-8' to each side of the equation. 8 + -8 + -2y = 7 + -8 Combine like terms: 8 + -8 = 0 0 + -2y = 7 + -8 -2y = 7 + -8 Combine like terms: 7 + -8 = -1 -2y = -1 Divide each side by '-2'. y = 0.5 Simplifying y = 0.5
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