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Simplifying (y + -6) + -1(y + 4) = 8y Reorder the terms: (-6 + y) + -1(y + 4) = 8y Remove parenthesis around (-6 + y) -6 + y + -1(y + 4) = 8y Reorder the terms: -6 + y + -1(4 + y) = 8y -6 + y + (4 * -1 + y * -1) = 8y -6 + y + (-4 + -1y) = 8y Reorder the terms: -6 + -4 + y + -1y = 8y Combine like terms: -6 + -4 = -10 -10 + y + -1y = 8y Combine like terms: y + -1y = 0 -10 + 0 = 8y -10 = 8y Solving -10 = 8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-8y' to each side of the equation. -10 + -8y = 8y + -8y Combine like terms: 8y + -8y = 0 -10 + -8y = 0 Add '10' to each side of the equation. -10 + 10 + -8y = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -8y = 0 + 10 -8y = 0 + 10 Combine like terms: 0 + 10 = 10 -8y = 10 Divide each side by '-8'. y = -1.25 Simplifying y = -1.25
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