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Simplifying 13 + 3(4y + -3) + 2(6y + 12) = -1y + 3 Reorder the terms: 13 + 3(-3 + 4y) + 2(6y + 12) = -1y + 3 13 + (-3 * 3 + 4y * 3) + 2(6y + 12) = -1y + 3 13 + (-9 + 12y) + 2(6y + 12) = -1y + 3 Reorder the terms: 13 + -9 + 12y + 2(12 + 6y) = -1y + 3 13 + -9 + 12y + (12 * 2 + 6y * 2) = -1y + 3 13 + -9 + 12y + (24 + 12y) = -1y + 3 Reorder the terms: 13 + -9 + 24 + 12y + 12y = -1y + 3 Combine like terms: 13 + -9 = 4 4 + 24 + 12y + 12y = -1y + 3 Combine like terms: 4 + 24 = 28 28 + 12y + 12y = -1y + 3 Combine like terms: 12y + 12y = 24y 28 + 24y = -1y + 3 Reorder the terms: 28 + 24y = 3 + -1y Solving 28 + 24y = 3 + -1y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add 'y' to each side of the equation. 28 + 24y + y = 3 + -1y + y Combine like terms: 24y + y = 25y 28 + 25y = 3 + -1y + y Combine like terms: -1y + y = 0 28 + 25y = 3 + 0 28 + 25y = 3 Add '-28' to each side of the equation. 28 + -28 + 25y = 3 + -28 Combine like terms: 28 + -28 = 0 0 + 25y = 3 + -28 25y = 3 + -28 Combine like terms: 3 + -28 = -25 25y = -25 Divide each side by '25'. y = -1 Simplifying y = -1
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