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Simplifying 8y + -2(3 + -1y) = 1 + y + -1(2y + 4) 8y + (3 * -2 + -1y * -2) = 1 + y + -1(2y + 4) 8y + (-6 + 2y) = 1 + y + -1(2y + 4) Reorder the terms: -6 + 8y + 2y = 1 + y + -1(2y + 4) Combine like terms: 8y + 2y = 10y -6 + 10y = 1 + y + -1(2y + 4) Reorder the terms: -6 + 10y = 1 + y + -1(4 + 2y) -6 + 10y = 1 + y + (4 * -1 + 2y * -1) -6 + 10y = 1 + y + (-4 + -2y) Reorder the terms: -6 + 10y = 1 + -4 + y + -2y Combine like terms: 1 + -4 = -3 -6 + 10y = -3 + y + -2y Combine like terms: y + -2y = -1y -6 + 10y = -3 + -1y Solving -6 + 10y = -3 + -1y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add 'y' to each side of the equation. -6 + 10y + y = -3 + -1y + y Combine like terms: 10y + y = 11y -6 + 11y = -3 + -1y + y Combine like terms: -1y + y = 0 -6 + 11y = -3 + 0 -6 + 11y = -3 Add '6' to each side of the equation. -6 + 6 + 11y = -3 + 6 Combine like terms: -6 + 6 = 0 0 + 11y = -3 + 6 11y = -3 + 6 Combine like terms: -3 + 6 = 3 11y = 3 Divide each side by '11'. y = 0.2727272727 Simplifying y = 0.2727272727
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