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Simplifying 8(y + -8) = 6y + -46 Reorder the terms: 8(-8 + y) = 6y + -46 (-8 * 8 + y * 8) = 6y + -46 (-64 + 8y) = 6y + -46 Reorder the terms: -64 + 8y = -46 + 6y Solving -64 + 8y = -46 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. -64 + 8y + -6y = -46 + 6y + -6y Combine like terms: 8y + -6y = 2y -64 + 2y = -46 + 6y + -6y Combine like terms: 6y + -6y = 0 -64 + 2y = -46 + 0 -64 + 2y = -46 Add '64' to each side of the equation. -64 + 64 + 2y = -46 + 64 Combine like terms: -64 + 64 = 0 0 + 2y = -46 + 64 2y = -46 + 64 Combine like terms: -46 + 64 = 18 2y = 18 Divide each side by '2'. y = 9 Simplifying y = 9
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