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Simplifying 8 = -7y + 5(y + -2) Reorder the terms: 8 = -7y + 5(-2 + y) 8 = -7y + (-2 * 5 + y * 5) 8 = -7y + (-10 + 5y) Reorder the terms: 8 = -10 + -7y + 5y Combine like terms: -7y + 5y = -2y 8 = -10 + -2y Solving 8 = -10 + -2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '2y' to each side of the equation. 8 + 2y = -10 + -2y + 2y Combine like terms: -2y + 2y = 0 8 + 2y = -10 + 0 8 + 2y = -10 Add '-8' to each side of the equation. 8 + -8 + 2y = -10 + -8 Combine like terms: 8 + -8 = 0 0 + 2y = -10 + -8 2y = -10 + -8 Combine like terms: -10 + -8 = -18 2y = -18 Divide each side by '2'. y = -9 Simplifying y = -9
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