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Simplifying Y + -1(4 + -1y) = 8(y + 4) Y + (4 * -1 + -1y * -1) = 8(y + 4) Y + (-4 + 1y) = 8(y + 4) Reorder the terms: -4 + Y + 1y = 8(y + 4) Reorder the terms: -4 + Y + 1y = 8(4 + y) -4 + Y + 1y = (4 * 8 + y * 8) -4 + Y + 1y = (32 + 8y) Solving -4 + Y + 1y = 32 + 8y Solving for variable 'Y'. Move all terms containing Y to the left, all other terms to the right. Add '4' to each side of the equation. -4 + Y + 4 + 1y = 32 + 4 + 8y Reorder the terms: -4 + 4 + Y + 1y = 32 + 4 + 8y Combine like terms: -4 + 4 = 0 0 + Y + 1y = 32 + 4 + 8y Y + 1y = 32 + 4 + 8y Combine like terms: 32 + 4 = 36 Y + 1y = 36 + 8y Add '-1y' to each side of the equation. Y + 1y + -1y = 36 + 8y + -1y Combine like terms: 1y + -1y = 0 Y + 0 = 36 + 8y + -1y Y = 36 + 8y + -1y Combine like terms: 8y + -1y = 7y Y = 36 + 7y Simplifying Y = 36 + 7y
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