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Simplifying 2(y + -1) = 4(y + 7) + -14 Reorder the terms: 2(-1 + y) = 4(y + 7) + -14 (-1 * 2 + y * 2) = 4(y + 7) + -14 (-2 + 2y) = 4(y + 7) + -14 Reorder the terms: -2 + 2y = 4(7 + y) + -14 -2 + 2y = (7 * 4 + y * 4) + -14 -2 + 2y = (28 + 4y) + -14 Reorder the terms: -2 + 2y = 28 + -14 + 4y Combine like terms: 28 + -14 = 14 -2 + 2y = 14 + 4y Solving -2 + 2y = 14 + 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. -2 + 2y + -4y = 14 + 4y + -4y Combine like terms: 2y + -4y = -2y -2 + -2y = 14 + 4y + -4y Combine like terms: 4y + -4y = 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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