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Simplifying 12(y + 2) + 5 = 2y + -1 Reorder the terms: 12(2 + y) + 5 = 2y + -1 (2 * 12 + y * 12) + 5 = 2y + -1 (24 + 12y) + 5 = 2y + -1 Reorder the terms: 24 + 5 + 12y = 2y + -1 Combine like terms: 24 + 5 = 29 29 + 12y = 2y + -1 Reorder the terms: 29 + 12y = -1 + 2y Solving 29 + 12y = -1 + 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. 29 + 12y + -2y = -1 + 2y + -2y Combine like terms: 12y + -2y = 10y 29 + 10y = -1 + 2y + -2y Combine like terms: 2y + -2y = 0 29 + 10y = -1 + 0 29 + 10y = -1 Add '-29' to each side of the equation. 29 + -29 + 10y = -1 + -29 Combine like terms: 29 + -29 = 0 0 + 10y = -1 + -29 10y = -1 + -29 Combine like terms: -1 + -29 = -30 10y = -30 Divide each side by '10'. y = -3 Simplifying y = -3
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