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Simplifying (Y + -7) + -1(y + -9) = 8y Reorder the terms: (-7 + Y) + -1(y + -9) = 8y Remove parenthesis around (-7 + Y) -7 + Y + -1(y + -9) = 8y Reorder the terms: -7 + Y + -1(-9 + y) = 8y -7 + Y + (-9 * -1 + y * -1) = 8y -7 + Y + (9 + -1y) = 8y Reorder the terms: -7 + 9 + Y + -1y = 8y Combine like terms: -7 + 9 = 2 2 + Y + -1y = 8y Solving 2 + Y + -1y = 8y Solving for variable 'Y'. Move all terms containing Y to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + Y + -2 + -1y = -2 + 8y Reorder the terms: 2 + -2 + Y + -1y = -2 + 8y Combine like terms: 2 + -2 = 0 0 + Y + -1y = -2 + 8y Y + -1y = -2 + 8y Add 'y' to each side of the equation. Y + -1y + y = -2 + 8y + y Combine like terms: -1y + y = 0 Y + 0 = -2 + 8y + y Y = -2 + 8y + y Combine like terms: 8y + y = 9y Y = -2 + 9y Simplifying Y = -2 + 9y
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