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Simplifying 2(y + 7) = 2(2y + -1) Reorder the terms: 2(7 + y) = 2(2y + -1) (7 * 2 + y * 2) = 2(2y + -1) (14 + 2y) = 2(2y + -1) Reorder the terms: 14 + 2y = 2(-1 + 2y) 14 + 2y = (-1 * 2 + 2y * 2) 14 + 2y = (-2 + 4y) Solving 14 + 2y = -2 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. 14 + 2y + -4y = -2 + 4y + -4y Combine like terms: 2y + -4y = -2y 14 + -2y = -2 + 4y + -4y Combine like terms: 4y + -4y = 0 14 + -2y = -2 + 0 14 + -2y = -2 Add '-14' to each side of the equation. 14 + -14 + -2y = -2 + -14 Combine like terms: 14 + -14 = 0 0 + -2y = -2 + -14 -2y = -2 + -14 Combine like terms: -2 + -14 = -16 -2y = -16 Divide each side by '-2'. y = 8 Simplifying y = 8
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