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Simplifying 42 = -3(y + 8) Reorder the terms: 42 = -3(8 + y) 42 = (8 * -3 + y * -3) 42 = (-24 + -3y) Solving 42 = -24 + -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. 42 + 3y = -24 + -3y + 3y Combine like terms: -3y + 3y = 0 42 + 3y = -24 + 0 42 + 3y = -24 Add '-42' to each side of the equation. 42 + -42 + 3y = -24 + -42 Combine like terms: 42 + -42 = 0 0 + 3y = -24 + -42 3y = -24 + -42 Combine like terms: -24 + -42 = -66 3y = -66 Divide each side by '3'. y = -22 Simplifying y = -22
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