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Simplifying 8(y + -2) = 3y + -46 Reorder the terms: 8(-2 + y) = 3y + -46 (-2 * 8 + y * 8) = 3y + -46 (-16 + 8y) = 3y + -46 Reorder the terms: -16 + 8y = -46 + 3y Solving -16 + 8y = -46 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. -16 + 8y + -3y = -46 + 3y + -3y Combine like terms: 8y + -3y = 5y -16 + 5y = -46 + 3y + -3y Combine like terms: 3y + -3y = 0 -16 + 5y = -46 + 0 -16 + 5y = -46 Add '16' to each side of the equation. -16 + 16 + 5y = -46 + 16 Combine like terms: -16 + 16 = 0 0 + 5y = -46 + 16 5y = -46 + 16 Combine like terms: -46 + 16 = -30 5y = -30 Divide each side by '5'. y = -6 Simplifying y = -6
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