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Simplifying 2(4y + 7) = -14(y + -1) + -66 Reorder the terms: 2(7 + 4y) = -14(y + -1) + -66 (7 * 2 + 4y * 2) = -14(y + -1) + -66 (14 + 8y) = -14(y + -1) + -66 Reorder the terms: 14 + 8y = -14(-1 + y) + -66 14 + 8y = (-1 * -14 + y * -14) + -66 14 + 8y = (14 + -14y) + -66 Reorder the terms: 14 + 8y = 14 + -66 + -14y Combine like terms: 14 + -66 = -52 14 + 8y = -52 + -14y Solving 14 + 8y = -52 + -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 + 8y + 14y = -52 + -14y + 14y Combine like terms: 8y + 14y = 22y 14 + 22y = -52 + -14y + 14y Combine like terms: -14y + 14y = 0 14 + 22y = -52 + 0 14 + 22y = -52 Add '-14' to each side of the equation. 14 + -14 + 22y = -52 + -14 Combine like terms: 14 + -14 = 0 0 + 22y = -52 + -14 22y = -52 + -14 Combine like terms: -52 + -14 = -66 22y = -66 Divide each side by '22'. y = -3 Simplifying y = -3
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