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Simplifying -1 + 2(2y + 4) = 3(4y + 8) + 1 Reorder the terms: -1 + 2(4 + 2y) = 3(4y + 8) + 1 -1 + (4 * 2 + 2y * 2) = 3(4y + 8) + 1 -1 + (8 + 4y) = 3(4y + 8) + 1 Combine like terms: -1 + 8 = 7 7 + 4y = 3(4y + 8) + 1 Reorder the terms: 7 + 4y = 3(8 + 4y) + 1 7 + 4y = (8 * 3 + 4y * 3) + 1 7 + 4y = (24 + 12y) + 1 Reorder the terms: 7 + 4y = 24 + 1 + 12y Combine like terms: 24 + 1 = 25 7 + 4y = 25 + 12y Solving 7 + 4y = 25 + 12y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-12y' to each side of the equation. 7 + 4y + -12y = 25 + 12y + -12y Combine like terms: 4y + -12y = -8y 7 + -8y = 25 + 12y + -12y Combine like terms: 12y + -12y = 0 7 + -8y = 25 + 0 7 + -8y = 25 Add '-7' to each side of the equation. 7 + -7 + -8y = 25 + -7 Combine like terms: 7 + -7 = 0 0 + -8y = 25 + -7 -8y = 25 + -7 Combine like terms: 25 + -7 = 18 -8y = 18 Divide each side by '-8'. y = -2.25 Simplifying y = -2.25
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