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Simplifying 2(y + 9) = -8y + -42 Reorder the terms: 2(9 + y) = -8y + -42 (9 * 2 + y * 2) = -8y + -42 (18 + 2y) = -8y + -42 Reorder the terms: 18 + 2y = -42 + -8y Solving 18 + 2y = -42 + -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. 18 + 2y + 8y = -42 + -8y + 8y Combine like terms: 2y + 8y = 10y 18 + 10y = -42 + -8y + 8y Combine like terms: -8y + 8y = 0 18 + 10y = -42 + 0 18 + 10y = -42 Add '-18' to each side of the equation. 18 + -18 + 10y = -42 + -18 Combine like terms: 18 + -18 = 0 0 + 10y = -42 + -18 10y = -42 + -18 Combine like terms: -42 + -18 = -60 10y = -60 Divide each side by '10'. y = -6 Simplifying y = -6
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