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Simplifying (y + -10) + -1(y + 6) = 8y Reorder the terms: (-10 + y) + -1(y + 6) = 8y Remove parenthesis around (-10 + y) -10 + y + -1(y + 6) = 8y Reorder the terms: -10 + y + -1(6 + y) = 8y -10 + y + (6 * -1 + y * -1) = 8y -10 + y + (-6 + -1y) = 8y Reorder the terms: -10 + -6 + y + -1y = 8y Combine like terms: -10 + -6 = -16 -16 + y + -1y = 8y Combine like terms: y + -1y = 0 -16 + 0 = 8y -16 = 8y Solving -16 = 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. -16 + -8y = 8y + -8y Combine like terms: 8y + -8y = 0 -16 + -8y = 0 Add '16' to each side of the equation. -16 + 16 + -8y = 0 + 16 Combine like terms: -16 + 16 = 0 0 + -8y = 0 + 16 -8y = 0 + 16 Combine like terms: 0 + 16 = 16 -8y = 16 Divide each side by '-8'. y = -2 Simplifying y = -2
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