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Simplifying -8 + 8(2y + 7) = 7(4y + 3) + 5 Reorder the terms: -8 + 8(7 + 2y) = 7(4y + 3) + 5 -8 + (7 * 8 + 2y * 8) = 7(4y + 3) + 5 -8 + (56 + 16y) = 7(4y + 3) + 5 Combine like terms: -8 + 56 = 48 48 + 16y = 7(4y + 3) + 5 Reorder the terms: 48 + 16y = 7(3 + 4y) + 5 48 + 16y = (3 * 7 + 4y * 7) + 5 48 + 16y = (21 + 28y) + 5 Reorder the terms: 48 + 16y = 21 + 5 + 28y Combine like terms: 21 + 5 = 26 48 + 16y = 26 + 28y Solving 48 + 16y = 26 + 28y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-28y' to each side of the equation. 48 + 16y + -28y = 26 + 28y + -28y Combine like terms: 16y + -28y = -12y 48 + -12y = 26 + 28y + -28y Combine like terms: 28y + -28y = 0 48 + -12y = 26 + 0 48 + -12y = 26 Add '-48' to each side of the equation. 48 + -48 + -12y = 26 + -48 Combine like terms: 48 + -48 = 0 0 + -12y = 26 + -48 -12y = 26 + -48 Combine like terms: 26 + -48 = -22 -12y = -22 Divide each side by '-12'. y = 1.833333333 Simplifying y = 1.833333333
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