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Simplifying 8(y + 3) = -3y + -42 Reorder the terms: 8(3 + y) = -3y + -42 (3 * 8 + y * 8) = -3y + -42 (24 + 8y) = -3y + -42 Reorder the terms: 24 + 8y = -42 + -3y Solving 24 + 8y = -42 + -3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '3y' to each side of the equation. 24 + 8y + 3y = -42 + -3y + 3y Combine like terms: 8y + 3y = 11y 24 + 11y = -42 + -3y + 3y Combine like terms: -3y + 3y = 0 24 + 11y = -42 + 0 24 + 11y = -42 Add '-24' to each side of the equation. 24 + -24 + 11y = -42 + -24 Combine like terms: 24 + -24 = 0 0 + 11y = -42 + -24 11y = -42 + -24 Combine like terms: -42 + -24 = -66 11y = -66 Divide each side by '11'. y = -6 Simplifying y = -6
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