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Simplifying 7 + -1(4y + -4) = 2 + -5y Reorder the terms: 7 + -1(-4 + 4y) = 2 + -5y 7 + (-4 * -1 + 4y * -1) = 2 + -5y 7 + (4 + -4y) = 2 + -5y Combine like terms: 7 + 4 = 11 11 + -4y = 2 + -5y Solving 11 + -4y = 2 + -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. 11 + -4y + 5y = 2 + -5y + 5y Combine like terms: -4y + 5y = 1y 11 + 1y = 2 + -5y + 5y Combine like terms: -5y + 5y = 0 11 + 1y = 2 + 0 11 + 1y = 2 Add '-11' to each side of the equation. 11 + -11 + 1y = 2 + -11 Combine like terms: 11 + -11 = 0 0 + 1y = 2 + -11 1y = 2 + -11 Combine like terms: 2 + -11 = -9 1y = -9 Divide each side by '1'. y = -9 Simplifying y = -9
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