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Simplifying 2(2y + -1) = 2(y + 6) Reorder the terms: 2(-1 + 2y) = 2(y + 6) (-1 * 2 + 2y * 2) = 2(y + 6) (-2 + 4y) = 2(y + 6) Reorder the terms: -2 + 4y = 2(6 + y) -2 + 4y = (6 * 2 + y * 2) -2 + 4y = (12 + 2y) Solving -2 + 4y = 12 + 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 = 12 + 2y + -2y Combine like terms: 4y + -2y = 2y -2 + 2y = 12 + 2y + -2y Combine like terms: 2y + -2y = 0 -2 + 2y = 12 + 0 -2 + 2y = 12 Add '2' to each side of the equation. -2 + 2 + 2y = 12 + 2 Combine like terms: -2 + 2 = 0 0 + 2y = 12 + 2 2y = 12 + 2 Combine like terms: 12 + 2 = 14 2y = 14 Divide each side by '2'. y = 7 Simplifying y = 7
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