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Simplifying 10 + -1(4y + -9) = 6 + -5y Reorder the terms: 10 + -1(-9 + 4y) = 6 + -5y 10 + (-9 * -1 + 4y * -1) = 6 + -5y 10 + (9 + -4y) = 6 + -5y Combine like terms: 10 + 9 = 19 19 + -4y = 6 + -5y Solving 19 + -4y = 6 + -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. 19 + -4y + 5y = 6 + -5y + 5y Combine like terms: -4y + 5y = 1y 19 + 1y = 6 + -5y + 5y Combine like terms: -5y + 5y = 0 19 + 1y = 6 + 0 19 + 1y = 6 Add '-19' to each side of the equation. 19 + -19 + 1y = 6 + -19 Combine like terms: 19 + -19 = 0 0 + 1y = 6 + -19 1y = 6 + -19 Combine like terms: 6 + -19 = -13 1y = -13 Divide each side by '1'. y = -13 Simplifying y = -13
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