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Simplifying 7(y + 8) = -3y + -34 Reorder the terms: 7(8 + y) = -3y + -34 (8 * 7 + y * 7) = -3y + -34 (56 + 7y) = -3y + -34 Reorder the terms: 56 + 7y = -34 + -3y Solving 56 + 7y = -34 + -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. 56 + 7y + 3y = -34 + -3y + 3y Combine like terms: 7y + 3y = 10y 56 + 10y = -34 + -3y + 3y Combine like terms: -3y + 3y = 0 56 + 10y = -34 + 0 56 + 10y = -34 Add '-56' to each side of the equation. 56 + -56 + 10y = -34 + -56 Combine like terms: 56 + -56 = 0 0 + 10y = -34 + -56 10y = -34 + -56 Combine like terms: -34 + -56 = -90 10y = -90 Divide each side by '10'. y = -9 Simplifying y = -9
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