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Simplifying 3(y + 1) + 10 = 8 + -2y Reorder the terms: 3(1 + y) + 10 = 8 + -2y (1 * 3 + y * 3) + 10 = 8 + -2y (3 + 3y) + 10 = 8 + -2y Reorder the terms: 3 + 10 + 3y = 8 + -2y Combine like terms: 3 + 10 = 13 13 + 3y = 8 + -2y Solving 13 + 3y = 8 + -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. 13 + 3y + 2y = 8 + -2y + 2y Combine like terms: 3y + 2y = 5y 13 + 5y = 8 + -2y + 2y Combine like terms: -2y + 2y = 0 13 + 5y = 8 + 0 13 + 5y = 8 Add '-13' to each side of the equation. 13 + -13 + 5y = 8 + -13 Combine like terms: 13 + -13 = 0 0 + 5y = 8 + -13 5y = 8 + -13 Combine like terms: 8 + -13 = -5 5y = -5 Divide each side by '5'. y = -1 Simplifying y = -1
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