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Simplifying (y + -8) + -1(y + 2) = 2y Reorder the terms: (-8 + y) + -1(y + 2) = 2y Remove parenthesis around (-8 + y) -8 + y + -1(y + 2) = 2y Reorder the terms: -8 + y + -1(2 + y) = 2y -8 + y + (2 * -1 + y * -1) = 2y -8 + y + (-2 + -1y) = 2y Reorder the terms: -8 + -2 + y + -1y = 2y Combine like terms: -8 + -2 = -10 -10 + y + -1y = 2y Combine like terms: y + -1y = 0 -10 + 0 = 2y -10 = 2y Solving -10 = 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. -10 + -2y = 2y + -2y Combine like terms: 2y + -2y = 0 -10 + -2y = 0 Add '10' to each side of the equation. -10 + 10 + -2y = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -2y = 0 + 10 -2y = 0 + 10 Combine like terms: 0 + 10 = 10 -2y = 10 Divide each side by '-2'. y = -5 Simplifying y = -5
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