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Simplifying 10 + -1(4y + -1) = 5 + -5y Reorder the terms: 10 + -1(-1 + 4y) = 5 + -5y 10 + (-1 * -1 + 4y * -1) = 5 + -5y 10 + (1 + -4y) = 5 + -5y Combine like terms: 10 + 1 = 11 11 + -4y = 5 + -5y Solving 11 + -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. 11 + -4y + 5y = 5 + -5y + 5y Combine like terms: -4y + 5y = 1y 11 + 1y = 5 + -5y + 5y Combine like terms: -5y + 5y = 0 11 + 1y = 5 + 0 11 + 1y = 5 Add '-11' to each side of the equation. 11 + -11 + 1y = 5 + -11 Combine like terms: 11 + -11 = 0 0 + 1y = 5 + -11 1y = 5 + -11 Combine like terms: 5 + -11 = -6 1y = -6 Divide each side by '1'. y = -6 Simplifying y = -6
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