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Simplifying 2(2y + 1) = 2(y + -13) Reorder the terms: 2(1 + 2y) = 2(y + -13) (1 * 2 + 2y * 2) = 2(y + -13) (2 + 4y) = 2(y + -13) Reorder the terms: 2 + 4y = 2(-13 + y) 2 + 4y = (-13 * 2 + y * 2) 2 + 4y = (-26 + 2y) Solving 2 + 4y = -26 + 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. 2 + 4y + -2y = -26 + 2y + -2y Combine like terms: 4y + -2y = 2y 2 + 2y = -26 + 2y + -2y Combine like terms: 2y + -2y = 0 2 + 2y = -26 + 0 2 + 2y = -26 Add '-2' to each side of the equation. 2 + -2 + 2y = -26 + -2 Combine like terms: 2 + -2 = 0 0 + 2y = -26 + -2 2y = -26 + -2 Combine like terms: -26 + -2 = -28 2y = -28 Divide each side by '2'. y = -14 Simplifying y = -14
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