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Simplifying 7y + 7 = 5(y + -2) Reorder the terms: 7 + 7y = 5(y + -2) Reorder the terms: 7 + 7y = 5(-2 + y) 7 + 7y = (-2 * 5 + y * 5) 7 + 7y = (-10 + 5y) Solving 7 + 7y = -10 + 5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5y' to each side of the equation. 7 + 7y + -5y = -10 + 5y + -5y Combine like terms: 7y + -5y = 2y 7 + 2y = -10 + 5y + -5y Combine like terms: 5y + -5y = 0 7 + 2y = -10 + 0 7 + 2y = -10 Add '-7' to each side of the equation. 7 + -7 + 2y = -10 + -7 Combine like terms: 7 + -7 = 0 0 + 2y = -10 + -7 2y = -10 + -7 Combine like terms: -10 + -7 = -17 2y = -17 Divide each side by '2'. y = -8.5 Simplifying y = -8.5
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