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Simplifying 46 + 3y + -18 = 12y + -14 + -2y Reorder the terms: 46 + -18 + 3y = 12y + -14 + -2y Combine like terms: 46 + -18 = 28 28 + 3y = 12y + -14 + -2y Reorder the terms: 28 + 3y = -14 + 12y + -2y Combine like terms: 12y + -2y = 10y 28 + 3y = -14 + 10y Solving 28 + 3y = -14 + 10y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-10y' to each side of the equation. 28 + 3y + -10y = -14 + 10y + -10y Combine like terms: 3y + -10y = -7y 28 + -7y = -14 + 10y + -10y Combine like terms: 10y + -10y = 0 28 + -7y = -14 + 0 28 + -7y = -14 Add '-28' to each side of the equation. 28 + -28 + -7y = -14 + -28 Combine like terms: 28 + -28 = 0 0 + -7y = -14 + -28 -7y = -14 + -28 Combine like terms: -14 + -28 = -42 -7y = -42 Divide each side by '-7'. y = 6 Simplifying y = 6
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