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Simplifying 35 + 3y + -14 = 12y + -14 + -2y Reorder the terms: 35 + -14 + 3y = 12y + -14 + -2y Combine like terms: 35 + -14 = 21 21 + 3y = 12y + -14 + -2y Reorder the terms: 21 + 3y = -14 + 12y + -2y Combine like terms: 12y + -2y = 10y 21 + 3y = -14 + 10y Solving 21 + 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. 21 + 3y + -10y = -14 + 10y + -10y Combine like terms: 3y + -10y = -7y 21 + -7y = -14 + 10y + -10y Combine like terms: 10y + -10y = 0 21 + -7y = -14 + 0 21 + -7y = -14 Add '-21' to each side of the equation. 21 + -21 + -7y = -14 + -21 Combine like terms: 21 + -21 = 0 0 + -7y = -14 + -21 -7y = -14 + -21 Combine like terms: -14 + -21 = -35 -7y = -35 Divide each side by '-7'. y = 5 Simplifying y = 5
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