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Simplifying 10 + -1(3y + -5) = 2 + -4y Reorder the terms: 10 + -1(-5 + 3y) = 2 + -4y 10 + (-5 * -1 + 3y * -1) = 2 + -4y 10 + (5 + -3y) = 2 + -4y Combine like terms: 10 + 5 = 15 15 + -3y = 2 + -4y Solving 15 + -3y = 2 + -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. 15 + -3y + 4y = 2 + -4y + 4y Combine like terms: -3y + 4y = 1y 15 + 1y = 2 + -4y + 4y Combine like terms: -4y + 4y = 0 15 + 1y = 2 + 0 15 + 1y = 2 Add '-15' to each side of the equation. 15 + -15 + 1y = 2 + -15 Combine like terms: 15 + -15 = 0 0 + 1y = 2 + -15 1y = 2 + -15 Combine like terms: 2 + -15 = -13 1y = -13 Divide each side by '1'. y = -13 Simplifying y = -13
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