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Simplifying 2(2y + -1) = 2(y + 7) Reorder the terms: 2(-1 + 2y) = 2(y + 7) (-1 * 2 + 2y * 2) = 2(y + 7) (-2 + 4y) = 2(y + 7) Reorder the terms: -2 + 4y = 2(7 + y) -2 + 4y = (7 * 2 + y * 2) -2 + 4y = (14 + 2y) Solving -2 + 4y = 14 + 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 = 14 + 2y + -2y Combine like terms: 4y + -2y = 2y -2 + 2y = 14 + 2y + -2y Combine like terms: 2y + -2y = 0 -2 + 2y = 14 + 0 -2 + 2y = 14 Add '2' to each side of the equation. -2 + 2 + 2y = 14 + 2 Combine like terms: -2 + 2 = 0 0 + 2y = 14 + 2 2y = 14 + 2 Combine like terms: 14 + 2 = 16 2y = 16 Divide each side by '2'. y = 8 Simplifying y = 8
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