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Simplifying -2(y + -6) = -8y + -42 Reorder the terms: -2(-6 + y) = -8y + -42 (-6 * -2 + y * -2) = -8y + -42 (12 + -2y) = -8y + -42 Reorder the terms: 12 + -2y = -42 + -8y Solving 12 + -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. 12 + -2y + 8y = -42 + -8y + 8y Combine like terms: -2y + 8y = 6y 12 + 6y = -42 + -8y + 8y Combine like terms: -8y + 8y = 0 12 + 6y = -42 + 0 12 + 6y = -42 Add '-12' to each side of the equation. 12 + -12 + 6y = -42 + -12 Combine like terms: 12 + -12 = 0 0 + 6y = -42 + -12 6y = -42 + -12 Combine like terms: -42 + -12 = -54 6y = -54 Divide each side by '6'. y = -9 Simplifying y = -9
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