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Simplifying 40 + 14y = 2(-4y + -13) Reorder the terms: 40 + 14y = 2(-13 + -4y) 40 + 14y = (-13 * 2 + -4y * 2) 40 + 14y = (-26 + -8y) Solving 40 + 14y = -26 + -8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '8y' to each side of the equation. 40 + 14y + 8y = -26 + -8y + 8y Combine like terms: 14y + 8y = 22y 40 + 22y = -26 + -8y + 8y Combine like terms: -8y + 8y = 0 40 + 22y = -26 + 0 40 + 22y = -26 Add '-40' to each side of the equation. 40 + -40 + 22y = -26 + -40 Combine like terms: 40 + -40 = 0 0 + 22y = -26 + -40 22y = -26 + -40 Combine like terms: -26 + -40 = -66 22y = -66 Divide each side by '22'. y = -3 Simplifying y = -3
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