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Simplifying 51 = 7(-1 + 2y) + 2 51 = (-1 * 7 + 2y * 7) + 2 51 = (-7 + 14y) + 2 Reorder the terms: 51 = -7 + 2 + 14y Combine like terms: -7 + 2 = -5 51 = -5 + 14y Solving 51 = -5 + 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. 51 + -14y = -5 + 14y + -14y Combine like terms: 14y + -14y = 0 51 + -14y = -5 + 0 51 + -14y = -5 Add '-51' to each side of the equation. 51 + -51 + -14y = -5 + -51 Combine like terms: 51 + -51 = 0 0 + -14y = -5 + -51 -14y = -5 + -51 Combine like terms: -5 + -51 = -56 -14y = -56 Divide each side by '-14'. y = 4 Simplifying y = 4
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