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