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Simplifying 7 + -1(4y + -7) = 5 + -5y Reorder the terms: 7 + -1(-7 + 4y) = 5 + -5y 7 + (-7 * -1 + 4y * -1) = 5 + -5y 7 + (7 + -4y) = 5 + -5y Combine like terms: 7 + 7 = 14 14 + -4y = 5 + -5y Solving 14 + -4y = 5 + -5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '5y' to each side of the equation. 14 + -4y + 5y = 5 + -5y + 5y Combine like terms: -4y + 5y = 1y 14 + 1y = 5 + -5y + 5y Combine like terms: -5y + 5y = 0 14 + 1y = 5 + 0 14 + 1y = 5 Add '-14' to each side of the equation. 14 + -14 + 1y = 5 + -14 Combine like terms: 14 + -14 = 0 0 + 1y = 5 + -14 1y = 5 + -14 Combine like terms: 5 + -14 = -9 1y = -9 Divide each side by '1'. y = -9 Simplifying y = -9
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