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Simplifying 8y + 13 = 3(y + 1) Reorder the terms: 13 + 8y = 3(y + 1) Reorder the terms: 13 + 8y = 3(1 + y) 13 + 8y = (1 * 3 + y * 3) 13 + 8y = (3 + 3y) Solving 13 + 8y = 3 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. 13 + 8y + -3y = 3 + 3y + -3y Combine like terms: 8y + -3y = 5y 13 + 5y = 3 + 3y + -3y Combine like terms: 3y + -3y = 0 13 + 5y = 3 + 0 13 + 5y = 3 Add '-13' to each side of the equation. 13 + -13 + 5y = 3 + -13 Combine like terms: 13 + -13 = 0 0 + 5y = 3 + -13 5y = 3 + -13 Combine like terms: 3 + -13 = -10 5y = -10 Divide each side by '5'. y = -2 Simplifying y = -2
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