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Simplifying 8(8y + 6) = 4(8y + -1) + 1 Reorder the terms: 8(6 + 8y) = 4(8y + -1) + 1 (6 * 8 + 8y * 8) = 4(8y + -1) + 1 (48 + 64y) = 4(8y + -1) + 1 Reorder the terms: 48 + 64y = 4(-1 + 8y) + 1 48 + 64y = (-1 * 4 + 8y * 4) + 1 48 + 64y = (-4 + 32y) + 1 Reorder the terms: 48 + 64y = -4 + 1 + 32y Combine like terms: -4 + 1 = -3 48 + 64y = -3 + 32y Solving 48 + 64y = -3 + 32y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-32y' to each side of the equation. 48 + 64y + -32y = -3 + 32y + -32y Combine like terms: 64y + -32y = 32y 48 + 32y = -3 + 32y + -32y Combine like terms: 32y + -32y = 0 48 + 32y = -3 + 0 48 + 32y = -3 Add '-48' to each side of the equation. 48 + -48 + 32y = -3 + -48 Combine like terms: 48 + -48 = 0 0 + 32y = -3 + -48 32y = -3 + -48 Combine like terms: -3 + -48 = -51 32y = -51 Divide each side by '32'. y = -1.59375 Simplifying y = -1.59375
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