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Simplifying 4 + 8y + 8 = 2y + -1(10 + 7y) + 9 Reorder the terms: 4 + 8 + 8y = 2y + -1(10 + 7y) + 9 Combine like terms: 4 + 8 = 12 12 + 8y = 2y + -1(10 + 7y) + 9 12 + 8y = 2y + (10 * -1 + 7y * -1) + 9 12 + 8y = 2y + (-10 + -7y) + 9 Reorder the terms: 12 + 8y = -10 + 9 + 2y + -7y Combine like terms: -10 + 9 = -1 12 + 8y = -1 + 2y + -7y Combine like terms: 2y + -7y = -5y 12 + 8y = -1 + -5y Solving 12 + 8y = -1 + -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. 12 + 8y + 5y = -1 + -5y + 5y Combine like terms: 8y + 5y = 13y 12 + 13y = -1 + -5y + 5y Combine like terms: -5y + 5y = 0 12 + 13y = -1 + 0 12 + 13y = -1 Add '-12' to each side of the equation. 12 + -12 + 13y = -1 + -12 Combine like terms: 12 + -12 = 0 0 + 13y = -1 + -12 13y = -1 + -12 Combine like terms: -1 + -12 = -13 13y = -13 Divide each side by '13'. y = -1 Simplifying y = -1
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