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Simplifying 46 = 2(4y + 3) + -8 Reorder the terms: 46 = 2(3 + 4y) + -8 46 = (3 * 2 + 4y * 2) + -8 46 = (6 + 8y) + -8 Reorder the terms: 46 = 6 + -8 + 8y Combine like terms: 6 + -8 = -2 46 = -2 + 8y Solving 46 = -2 + 8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-8y' to each side of the equation. 46 + -8y = -2 + 8y + -8y Combine like terms: 8y + -8y = 0 46 + -8y = -2 + 0 46 + -8y = -2 Add '-46' to each side of the equation. 46 + -46 + -8y = -2 + -46 Combine like terms: 46 + -46 = 0 0 + -8y = -2 + -46 -8y = -2 + -46 Combine like terms: -2 + -46 = -48 -8y = -48 Divide each side by '-8'. y = 6 Simplifying y = 6
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