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Simplifying 3y + 17 = -7(y + -1) Reorder the terms: 17 + 3y = -7(y + -1) Reorder the terms: 17 + 3y = -7(-1 + y) 17 + 3y = (-1 * -7 + y * -7) 17 + 3y = (7 + -7y) Solving 17 + 3y = 7 + -7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '7y' to each side of the equation. 17 + 3y + 7y = 7 + -7y + 7y Combine like terms: 3y + 7y = 10y 17 + 10y = 7 + -7y + 7y Combine like terms: -7y + 7y = 0 17 + 10y = 7 + 0 17 + 10y = 7 Add '-17' to each side of the equation. 17 + -17 + 10y = 7 + -17 Combine like terms: 17 + -17 = 0 0 + 10y = 7 + -17 10y = 7 + -17 Combine like terms: 7 + -17 = -10 10y = -10 Divide each side by '10'. y = -1 Simplifying y = -1
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