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Simplifying -2(y + -9) = 6y + -46 Reorder the terms: -2(-9 + y) = 6y + -46 (-9 * -2 + y * -2) = 6y + -46 (18 + -2y) = 6y + -46 Reorder the terms: 18 + -2y = -46 + 6y Solving 18 + -2y = -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. 18 + -2y + -6y = -46 + 6y + -6y Combine like terms: -2y + -6y = -8y 18 + -8y = -46 + 6y + -6y Combine like terms: 6y + -6y = 0 18 + -8y = -46 + 0 18 + -8y = -46 Add '-18' to each side of the equation. 18 + -18 + -8y = -46 + -18 Combine like terms: 18 + -18 = 0 0 + -8y = -46 + -18 -8y = -46 + -18 Combine like terms: -46 + -18 = -64 -8y = -64 Divide each side by '-8'. y = 8 Simplifying y = 8
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