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Simplifying 2y + 46 = 8(y + -1) Reorder the terms: 46 + 2y = 8(y + -1) Reorder the terms: 46 + 2y = 8(-1 + y) 46 + 2y = (-1 * 8 + y * 8) 46 + 2y = (-8 + 8y) Solving 46 + 2y = -8 + 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 + 2y + -8y = -8 + 8y + -8y Combine like terms: 2y + -8y = -6y 46 + -6y = -8 + 8y + -8y Combine like terms: 8y + -8y = 0 46 + -6y = -8 + 0 46 + -6y = -8 Add '-46' to each side of the equation. 46 + -46 + -6y = -8 + -46 Combine like terms: 46 + -46 = 0 0 + -6y = -8 + -46 -6y = -8 + -46 Combine like terms: -8 + -46 = -54 -6y = -54 Divide each side by '-6'. y = 9 Simplifying y = 9
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