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Simplifying 7(y + 5) + 11 = 3y + -10 Reorder the terms: 7(5 + y) + 11 = 3y + -10 (5 * 7 + y * 7) + 11 = 3y + -10 (35 + 7y) + 11 = 3y + -10 Reorder the terms: 35 + 11 + 7y = 3y + -10 Combine like terms: 35 + 11 = 46 46 + 7y = 3y + -10 Reorder the terms: 46 + 7y = -10 + 3y Solving 46 + 7y = -10 + 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. 46 + 7y + -3y = -10 + 3y + -3y Combine like terms: 7y + -3y = 4y 46 + 4y = -10 + 3y + -3y Combine like terms: 3y + -3y = 0 46 + 4y = -10 + 0 46 + 4y = -10 Add '-46' to each side of the equation. 46 + -46 + 4y = -10 + -46 Combine like terms: 46 + -46 = 0 0 + 4y = -10 + -46 4y = -10 + -46 Combine like terms: -10 + -46 = -56 4y = -56 Divide each side by '4'. y = -14 Simplifying y = -14
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