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Simplifying 8y + 40 = 2(3y + 10) + -2 Reorder the terms: 40 + 8y = 2(3y + 10) + -2 Reorder the terms: 40 + 8y = 2(10 + 3y) + -2 40 + 8y = (10 * 2 + 3y * 2) + -2 40 + 8y = (20 + 6y) + -2 Reorder the terms: 40 + 8y = 20 + -2 + 6y Combine like terms: 20 + -2 = 18 40 + 8y = 18 + 6y Solving 40 + 8y = 18 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. 40 + 8y + -6y = 18 + 6y + -6y Combine like terms: 8y + -6y = 2y 40 + 2y = 18 + 6y + -6y Combine like terms: 6y + -6y = 0 40 + 2y = 18 + 0 40 + 2y = 18 Add '-40' to each side of the equation. 40 + -40 + 2y = 18 + -40 Combine like terms: 40 + -40 = 0 0 + 2y = 18 + -40 2y = 18 + -40 Combine like terms: 18 + -40 = -22 2y = -22 Divide each side by '2'. y = -11 Simplifying y = -11
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