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Simplifying -8y + 46 = -6(y + -9) Reorder the terms: 46 + -8y = -6(y + -9) Reorder the terms: 46 + -8y = -6(-9 + y) 46 + -8y = (-9 * -6 + y * -6) 46 + -8y = (54 + -6y) Solving 46 + -8y = 54 + -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. 46 + -8y + 6y = 54 + -6y + 6y Combine like terms: -8y + 6y = -2y 46 + -2y = 54 + -6y + 6y Combine like terms: -6y + 6y = 0 46 + -2y = 54 + 0 46 + -2y = 54 Add '-46' to each side of the equation. 46 + -46 + -2y = 54 + -46 Combine like terms: 46 + -46 = 0 0 + -2y = 54 + -46 -2y = 54 + -46 Combine like terms: 54 + -46 = 8 -2y = 8 Divide each side by '-2'. y = -4 Simplifying y = -4
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