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Simplifying 40 + 4y + -12 = 12y + -14 + -2y Reorder the terms: 40 + -12 + 4y = 12y + -14 + -2y Combine like terms: 40 + -12 = 28 28 + 4y = 12y + -14 + -2y Reorder the terms: 28 + 4y = -14 + 12y + -2y Combine like terms: 12y + -2y = 10y 28 + 4y = -14 + 10y Solving 28 + 4y = -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 + 4y + -10y = -14 + 10y + -10y Combine like terms: 4y + -10y = -6y 28 + -6y = -14 + 10y + -10y Combine like terms: 10y + -10y = 0 28 + -6y = -14 + 0 28 + -6y = -14 Add '-28' to each side of the equation. 28 + -28 + -6y = -14 + -28 Combine like terms: 28 + -28 = 0 0 + -6y = -14 + -28 -6y = -14 + -28 Combine like terms: -14 + -28 = -42 -6y = -42 Divide each side by '-6'. y = 7 Simplifying y = 7
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