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Simplifying 12(3 + y) = (2y + 8) (3 * 12 + y * 12) = (2y + 8) (36 + 12y) = (2y + 8) Reorder the terms: 36 + 12y = (8 + 2y) Remove parenthesis around (8 + 2y) 36 + 12y = 8 + 2y Solving 36 + 12y = 8 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. 36 + 12y + -2y = 8 + 2y + -2y Combine like terms: 12y + -2y = 10y 36 + 10y = 8 + 2y + -2y Combine like terms: 2y + -2y = 0 36 + 10y = 8 + 0 36 + 10y = 8 Add '-36' to each side of the equation. 36 + -36 + 10y = 8 + -36 Combine like terms: 36 + -36 = 0 0 + 10y = 8 + -36 10y = 8 + -36 Combine like terms: 8 + -36 = -28 10y = -28 Divide each side by '10'. y = -2.8 Simplifying y = -2.8
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