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Simplifying Y + 8 + y = 5 + 2(y + -6) Reorder the terms: 8 + Y + y = 5 + 2(y + -6) Reorder the terms: 8 + Y + y = 5 + 2(-6 + y) 8 + Y + y = 5 + (-6 * 2 + y * 2) 8 + Y + y = 5 + (-12 + 2y) Combine like terms: 5 + -12 = -7 8 + Y + y = -7 + 2y Solving 8 + Y + y = -7 + 2y Solving for variable 'Y'. Move all terms containing Y to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + Y + -8 + y = -7 + -8 + 2y Reorder the terms: 8 + -8 + Y + y = -7 + -8 + 2y Combine like terms: 8 + -8 = 0 0 + Y + y = -7 + -8 + 2y Y + y = -7 + -8 + 2y Combine like terms: -7 + -8 = -15 Y + y = -15 + 2y Add '-1y' to each side of the equation. Y + y + -1y = -15 + 2y + -1y Combine like terms: y + -1y = 0 Y + 0 = -15 + 2y + -1y Y = -15 + 2y + -1y Combine like terms: 2y + -1y = 1y Y = -15 + 1y Simplifying Y = -15 + 1y
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