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Simplifying -1(-1y + 2) = -1(-10 + -1y) + 8y Reorder the terms: -1(2 + -1y) = -1(-10 + -1y) + 8y (2 * -1 + -1y * -1) = -1(-10 + -1y) + 8y (-2 + 1y) = -1(-10 + -1y) + 8y -2 + 1y = (-10 * -1 + -1y * -1) + 8y -2 + 1y = (10 + 1y) + 8y Combine like terms: 1y + 8y = 9y -2 + 1y = 10 + 9y Solving -2 + 1y = 10 + 9y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-9y' to each side of the equation. -2 + 1y + -9y = 10 + 9y + -9y Combine like terms: 1y + -9y = -8y -2 + -8y = 10 + 9y + -9y Combine like terms: 9y + -9y = 0 -2 + -8y = 10 + 0 -2 + -8y = 10 Add '2' to each side of the equation. -2 + 2 + -8y = 10 + 2 Combine like terms: -2 + 2 = 0 0 + -8y = 10 + 2 -8y = 10 + 2 Combine like terms: 10 + 2 = 12 -8y = 12 Divide each side by '-8'. y = -1.5 Simplifying y = -1.5
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