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Simplifying 10 + -1(3y + -4) = 8 + -4y Reorder the terms: 10 + -1(-4 + 3y) = 8 + -4y 10 + (-4 * -1 + 3y * -1) = 8 + -4y 10 + (4 + -3y) = 8 + -4y Combine like terms: 10 + 4 = 14 14 + -3y = 8 + -4y Solving 14 + -3y = 8 + -4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '4y' to each side of the equation. 14 + -3y + 4y = 8 + -4y + 4y Combine like terms: -3y + 4y = 1y 14 + 1y = 8 + -4y + 4y Combine like terms: -4y + 4y = 0 14 + 1y = 8 + 0 14 + 1y = 8 Add '-14' to each side of the equation. 14 + -14 + 1y = 8 + -14 Combine like terms: 14 + -14 = 0 0 + 1y = 8 + -14 1y = 8 + -14 Combine like terms: 8 + -14 = -6 1y = -6 Divide each side by '1'. y = -6 Simplifying y = -6
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