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Simplifying 10 + -1(4y + -5) = 4 + -5y Reorder the terms: 10 + -1(-5 + 4y) = 4 + -5y 10 + (-5 * -1 + 4y * -1) = 4 + -5y 10 + (5 + -4y) = 4 + -5y Combine like terms: 10 + 5 = 15 15 + -4y = 4 + -5y Solving 15 + -4y = 4 + -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. 15 + -4y + 5y = 4 + -5y + 5y Combine like terms: -4y + 5y = 1y 15 + 1y = 4 + -5y + 5y Combine like terms: -5y + 5y = 0 15 + 1y = 4 + 0 15 + 1y = 4 Add '-15' to each side of the equation. 15 + -15 + 1y = 4 + -15 Combine like terms: 15 + -15 = 0 0 + 1y = 4 + -15 1y = 4 + -15 Combine like terms: 4 + -15 = -11 1y = -11 Divide each side by '1'. y = -11 Simplifying y = -11
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